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Finding the Fourth Proportional to 3,729.84, 5,594.04 and 1,132.16

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Solution

The fourth proportional to 3,729.84, 5,594.04 and 1,132.16 is: 1,698.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,729.84 : 5,594.04 = 1,132.16 : x
  2. Step 2: Convert to fraction form
    3,729.84/5,594.04 = 1,132.16/x
  3. Step 3: Cross multiply
    3,729.84x = 5,594.04 × 1,132.16
  4. Step 4: Simplify right side
    3,729.84x = 6,333,348.33
  5. Step 5: Solve for x
    x = 6,333,348.33/3,729.84
  6. Step 6: Final answer
    x = 1,698.02

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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.