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Finding the Fourth Proportional to 3,565.44, 5,347.92 and 1,224.96

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Solution

The fourth proportional to 3,565.44, 5,347.92 and 1,224.96 is: 1,837.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,565.44 : 5,347.92 = 1,224.96 : x
  2. Step 2: Convert to fraction form
    3,565.44/5,347.92 = 1,224.96/x
  3. Step 3: Cross multiply
    3,565.44x = 5,347.92 × 1,224.96
  4. Step 4: Simplify right side
    3,565.44x = 6,550,988.08
  5. Step 5: Solve for x
    x = 6,550,988.08/3,565.44
  6. Step 6: Final answer
    x = 1,837.36

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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.