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Finding the Fourth Proportional to 5,711.04, 7,878.87 and 3,472.54

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Solution

The fourth proportional to 5,711.04, 7,878.87 and 3,472.54 is: 4,790.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,711.04 : 7,878.87 = 3,472.54 : x
  2. Step 2: Convert to fraction form
    5,711.04/7,878.87 = 3,472.54/x
  3. Step 3: Cross multiply
    5,711.04x = 7,878.87 × 3,472.54
  4. Step 4: Simplify right side
    5,711.04x = 27,359,671.53
  5. Step 5: Solve for x
    x = 27,359,671.53/5,711.04
  6. Step 6: Final answer
    x = 4,790.66

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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.