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Finding the Fourth Proportional to 3,648.32, 5,476.80 and 3,633.92

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Solution

The fourth proportional to 3,648.32, 5,476.80 and 3,633.92 is: 5,455.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,648.32 : 5,476.80 = 3,633.92 : x
  2. Step 2: Convert to fraction form
    3,648.32/5,476.80 = 3,633.92/x
  3. Step 3: Cross multiply
    3,648.32x = 5,476.80 × 3,633.92
  4. Step 4: Simplify right side
    3,648.32x = 19,902,253.06
  5. Step 5: Solve for x
    x = 19,902,253.06/3,648.32
  6. Step 6: Final answer
    x = 5,455.18

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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.