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Finding the Fourth Proportional to 4,669.57, 7,006.43 and 2,447.87

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Solution

The fourth proportional to 4,669.57, 7,006.43 and 2,447.87 is: 3,672.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,669.57 : 7,006.43 = 2,447.87 : x
  2. Step 2: Convert to fraction form
    4,669.57/7,006.43 = 2,447.87/x
  3. Step 3: Cross multiply
    4,669.57x = 7,006.43 × 2,447.87
  4. Step 4: Simplify right side
    4,669.57x = 17,150,829.80
  5. Step 5: Solve for x
    x = 17,150,829.80/4,669.57
  6. Step 6: Final answer
    x = 3,672.89

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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.