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Finding the Fourth Proportional to 4,711.61, 6,502.02 and 2,615.73

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Solution

The fourth proportional to 4,711.61, 6,502.02 and 2,615.73 is: 3,609.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,711.61 : 6,502.02 = 2,615.73 : x
  2. Step 2: Convert to fraction form
    4,711.61/6,502.02 = 2,615.73/x
  3. Step 3: Cross multiply
    4,711.61x = 6,502.02 × 2,615.73
  4. Step 4: Simplify right side
    4,711.61x = 17,007,528.77
  5. Step 5: Solve for x
    x = 17,007,528.77/4,711.61
  6. Step 6: Final answer
    x = 3,609.71

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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.