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Finding the Fourth Proportional to 4,711.64, 6,502.14 and 2,587.37

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Solution

The fourth proportional to 4,711.64, 6,502.14 and 2,587.37 is: 3,570.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,711.64 : 6,502.14 = 2,587.37 : x
  2. Step 2: Convert to fraction form
    4,711.64/6,502.14 = 2,587.37/x
  3. Step 3: Cross multiply
    4,711.64x = 6,502.14 × 2,587.37
  4. Step 4: Simplify right side
    4,711.64x = 16,823,441.97
  5. Step 5: Solve for x
    x = 16,823,441.97/4,711.64
  6. Step 6: Final answer
    x = 3,570.61

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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.