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Finding the Fourth Proportional to 3,638.74, 5,017.48 and 2,457.76

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Solution

The fourth proportional to 3,638.74, 5,017.48 and 2,457.76 is: 3,389.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,638.74 : 5,017.48 = 2,457.76 : x
  2. Step 2: Convert to fraction form
    3,638.74/5,017.48 = 2,457.76/x
  3. Step 3: Cross multiply
    3,638.74x = 5,017.48 × 2,457.76
  4. Step 4: Simplify right side
    3,638.74x = 12,331,739.63
  5. Step 5: Solve for x
    x = 12,331,739.63/3,638.74
  6. Step 6: Final answer
    x = 3,389.02

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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.