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Finding the Fourth Proportional to 4,243.92, 6,365.52 and 1,470.12

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Solution

The fourth proportional to 4,243.92, 6,365.52 and 1,470.12 is: 2,205.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,243.92 : 6,365.52 = 1,470.12 : x
  2. Step 2: Convert to fraction form
    4,243.92/6,365.52 = 1,470.12/x
  3. Step 3: Cross multiply
    4,243.92x = 6,365.52 × 1,470.12
  4. Step 4: Simplify right side
    4,243.92x = 9,358,078.26
  5. Step 5: Solve for x
    x = 9,358,078.26/4,243.92
  6. Step 6: Final answer
    x = 2,205.06

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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.