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Finding the Fourth Proportional to 4,711.57, 6,502.21 and 2,587.09

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Solution

The fourth proportional to 4,711.57, 6,502.21 and 2,587.09 is: 3,570.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,711.57 : 6,502.21 = 2,587.09 : x
  2. Step 2: Convert to fraction form
    4,711.57/6,502.21 = 2,587.09/x
  3. Step 3: Cross multiply
    4,711.57x = 6,502.21 × 2,587.09
  4. Step 4: Simplify right side
    4,711.57x = 16,821,757.02
  5. Step 5: Solve for x
    x = 16,821,757.02/4,711.57
  6. Step 6: Final answer
    x = 3,570.31

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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.