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Finding the Fourth Proportional to 3,880.47, 5,821.69 and 1,248.26

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Solution

The fourth proportional to 3,880.47, 5,821.69 and 1,248.26 is: 1,872.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,880.47 : 5,821.69 = 1,248.26 : x
  2. Step 2: Convert to fraction form
    3,880.47/5,821.69 = 1,248.26/x
  3. Step 3: Cross multiply
    3,880.47x = 5,821.69 × 1,248.26
  4. Step 4: Simplify right side
    3,880.47x = 7,266,960.62
  5. Step 5: Solve for x
    x = 7,266,960.62/3,880.47
  6. Step 6: Final answer
    x = 1,872.70

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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.