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Finding the Fourth Proportional to 3,977,326.56, 5,486,402.24 and 2,506,658.88

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Solution

The fourth proportional to 3,977,326.56, 5,486,402.24 and 2,506,658.88 is: 3,457,734.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,977,326.56 : 5,486,402.24 = 2,506,658.88 : x
  2. Step 2: Convert to fraction form
    3,977,326.56/5,486,402.24 = 2,506,658.88/x
  3. Step 3: Cross multiply
    3,977,326.56x = 5,486,402.24 × 2,506,658.88
  4. Step 4: Simplify right side
    3,977,326.56x = 13,752,538,894,147.89
  5. Step 5: Solve for x
    x = 13,752,538,894,147.89/3,977,326.56
  6. Step 6: Final answer
    x = 3,457,734.41

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.