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Finding the Fourth Proportional to 4,711.60, 6,502.19 and 2,587.31

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Solution

The fourth proportional to 4,711.60, 6,502.19 and 2,587.31 is: 3,570.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,711.60 : 6,502.19 = 2,587.31 : x
  2. Step 2: Convert to fraction form
    4,711.60/6,502.19 = 2,587.31/x
  3. Step 3: Cross multiply
    4,711.60x = 6,502.19 × 2,587.31
  4. Step 4: Simplify right side
    4,711.60x = 16,823,135.76
  5. Step 5: Solve for x
    x = 16,823,135.76/4,711.60
  6. Step 6: Final answer
    x = 3,570.58

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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.