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Finding the Fourth Proportional to 4,700.94, 6,487.17 and 2,605.02

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Solution

The fourth proportional to 4,700.94, 6,487.17 and 2,605.02 is: 3,594.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,700.94 : 6,487.17 = 2,605.02 : x
  2. Step 2: Convert to fraction form
    4,700.94/6,487.17 = 2,605.02/x
  3. Step 3: Cross multiply
    4,700.94x = 6,487.17 × 2,605.02
  4. Step 4: Simplify right side
    4,700.94x = 16,899,207.59
  5. Step 5: Solve for x
    x = 16,899,207.59/4,700.94
  6. Step 6: Final answer
    x = 3,594.86

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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.