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Finding the Fourth Proportional to 3,248.16, 4,876.56 and 1,862.88

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Solution

The fourth proportional to 3,248.16, 4,876.56 and 1,862.88 is: 2,796.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,248.16 : 4,876.56 = 1,862.88 : x
  2. Step 2: Convert to fraction form
    3,248.16/4,876.56 = 1,862.88/x
  3. Step 3: Cross multiply
    3,248.16x = 4,876.56 × 1,862.88
  4. Step 4: Simplify right side
    3,248.16x = 9,084,446.09
  5. Step 5: Solve for x
    x = 9,084,446.09/3,248.16
  6. Step 6: Final answer
    x = 2,796.80

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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.