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Finding the Fourth Proportional to 3,566.72, 5,349.80 and 1,102.16

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Solution

The fourth proportional to 3,566.72, 5,349.80 and 1,102.16 is: 1,653.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,566.72 : 5,349.80 = 1,102.16 : x
  2. Step 2: Convert to fraction form
    3,566.72/5,349.80 = 1,102.16/x
  3. Step 3: Cross multiply
    3,566.72x = 5,349.80 × 1,102.16
  4. Step 4: Simplify right side
    3,566.72x = 5,896,311.57
  5. Step 5: Solve for x
    x = 5,896,311.57/3,566.72
  6. Step 6: Final answer
    x = 1,653.15

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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.