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Finding the Fourth Proportional to 3,787.32, 5,681.03 and 1,190.25

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Solution

The fourth proportional to 3,787.32, 5,681.03 and 1,190.25 is: 1,785.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,787.32 : 5,681.03 = 1,190.25 : x
  2. Step 2: Convert to fraction form
    3,787.32/5,681.03 = 1,190.25/x
  3. Step 3: Cross multiply
    3,787.32x = 5,681.03 × 1,190.25
  4. Step 4: Simplify right side
    3,787.32x = 6,761,840.01
  5. Step 5: Solve for x
    x = 6,761,840.01/3,787.32
  6. Step 6: Final answer
    x = 1,785.39

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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.