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Finding the Fourth Proportional to 4,864.57, 7,283.08 and 3,781.60

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Solution

The fourth proportional to 4,864.57, 7,283.08 and 3,781.60 is: 5,661.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,864.57 : 7,283.08 = 3,781.60 : x
  2. Step 2: Convert to fraction form
    4,864.57/7,283.08 = 3,781.60/x
  3. Step 3: Cross multiply
    4,864.57x = 7,283.08 × 3,781.60
  4. Step 4: Simplify right side
    4,864.57x = 27,541,681.85
  5. Step 5: Solve for x
    x = 27,541,681.85/4,864.57
  6. Step 6: Final answer
    x = 5,661.69

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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.