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Finding the Fourth Proportional to 4,666.89, 6,440.40 and 2,542.50

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Solution

The fourth proportional to 4,666.89, 6,440.40 and 2,542.50 is: 3,508.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,666.89 : 6,440.40 = 2,542.50 : x
  2. Step 2: Convert to fraction form
    4,666.89/6,440.40 = 2,542.50/x
  3. Step 3: Cross multiply
    4,666.89x = 6,440.40 × 2,542.50
  4. Step 4: Simplify right side
    4,666.89x = 16,374,717
  5. Step 5: Solve for x
    x = 16,374,717/4,666.89
  6. Step 6: Final answer
    x = 3,508.70

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