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Finding the Fourth Proportional to 4,376.80, 6,552.40 and 3,864.80

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Solution

The fourth proportional to 4,376.80, 6,552.40 and 3,864.80 is: 5,785.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,376.80 : 6,552.40 = 3,864.80 : x
  2. Step 2: Convert to fraction form
    4,376.80/6,552.40 = 3,864.80/x
  3. Step 3: Cross multiply
    4,376.80x = 6,552.40 × 3,864.80
  4. Step 4: Simplify right side
    4,376.80x = 25,323,715.52
  5. Step 5: Solve for x
    x = 25,323,715.52/4,376.80
  6. Step 6: Final answer
    x = 5,785.90

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.