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Finding the Fourth Proportional to 5,878.56, 8,826.66 and 5,090.34

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Solution

The fourth proportional to 5,878.56, 8,826.66 and 5,090.34 is: 7,643.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,878.56 : 8,826.66 = 5,090.34 : x
  2. Step 2: Convert to fraction form
    5,878.56/8,826.66 = 5,090.34/x
  3. Step 3: Cross multiply
    5,878.56x = 8,826.66 × 5,090.34
  4. Step 4: Simplify right side
    5,878.56x = 44,930,700.46
  5. Step 5: Solve for x
    x = 44,930,700.46/5,878.56
  6. Step 6: Final answer
    x = 7,643.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.