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Finding the Fourth Proportional to 5,689.48, 8,534.40 and 2,402.68

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Solution

The fourth proportional to 5,689.48, 8,534.40 and 2,402.68 is: 3,604.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,689.48 : 8,534.40 = 2,402.68 : x
  2. Step 2: Convert to fraction form
    5,689.48/8,534.40 = 2,402.68/x
  3. Step 3: Cross multiply
    5,689.48x = 8,534.40 × 2,402.68
  4. Step 4: Simplify right side
    5,689.48x = 20,505,432.19
  5. Step 5: Solve for x
    x = 20,505,432.19/5,689.48
  6. Step 6: Final answer
    x = 3,604.10

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