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Finding the Fourth Proportional to 3,445.20, 5,167.84 and 848.16

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Solution

The fourth proportional to 3,445.20, 5,167.84 and 848.16 is: 1,272.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,445.20 : 5,167.84 = 848.16 : x
  2. Step 2: Convert to fraction form
    3,445.20/5,167.84 = 848.16/x
  3. Step 3: Cross multiply
    3,445.20x = 5,167.84 × 848.16
  4. Step 4: Simplify right side
    3,445.20x = 4,383,155.17
  5. Step 5: Solve for x
    x = 4,383,155.17/3,445.20
  6. Step 6: Final answer
    x = 1,272.25

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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.