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Finding the Fourth Proportional to 4,706.81, 6,502.15 and 3,761.36

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Solution

The fourth proportional to 4,706.81, 6,502.15 and 3,761.36 is: 5,196.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,706.81 : 6,502.15 = 3,761.36 : x
  2. Step 2: Convert to fraction form
    4,706.81/6,502.15 = 3,761.36/x
  3. Step 3: Cross multiply
    4,706.81x = 6,502.15 × 3,761.36
  4. Step 4: Simplify right side
    4,706.81x = 24,456,926.92
  5. Step 5: Solve for x
    x = 24,456,926.92/4,706.81
  6. Step 6: Final answer
    x = 5,196.07

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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.