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Finding the Fourth Proportional to 3,390.20, 5,084.47 and 925.03

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Solution

The fourth proportional to 3,390.20, 5,084.47 and 925.03 is: 1,387.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,390.20 : 5,084.47 = 925.03 : x
  2. Step 2: Convert to fraction form
    3,390.20/5,084.47 = 925.03/x
  3. Step 3: Cross multiply
    3,390.20x = 5,084.47 × 925.03
  4. Step 4: Simplify right side
    3,390.20x = 4,703,287.28
  5. Step 5: Solve for x
    x = 4,703,287.28/3,390.20
  6. Step 6: Final answer
    x = 1,387.32

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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.