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Finding the Fourth Proportional to 3,915.61, 5,874.36 and 1,283.31

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Solution

The fourth proportional to 3,915.61, 5,874.36 and 1,283.31 is: 1,925.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,915.61 : 5,874.36 = 1,283.31 : x
  2. Step 2: Convert to fraction form
    3,915.61/5,874.36 = 1,283.31/x
  3. Step 3: Cross multiply
    3,915.61x = 5,874.36 × 1,283.31
  4. Step 4: Simplify right side
    3,915.61x = 7,538,620.12
  5. Step 5: Solve for x
    x = 7,538,620.12/3,915.61
  6. Step 6: Final answer
    x = 1,925.27

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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.