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Finding the Fourth Proportional to 3,689.60, 5,537.87 and 2,457.87

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Solution

The fourth proportional to 3,689.60, 5,537.87 and 2,457.87 is: 3,689.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,689.60 : 5,537.87 = 2,457.87 : x
  2. Step 2: Convert to fraction form
    3,689.60/5,537.87 = 2,457.87/x
  3. Step 3: Cross multiply
    3,689.60x = 5,537.87 × 2,457.87
  4. Step 4: Simplify right side
    3,689.60x = 13,611,352.25
  5. Step 5: Solve for x
    x = 13,611,352.25/3,689.60
  6. Step 6: Final answer
    x = 3,689.12

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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.