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Finding the Fourth Proportional to 4,191.52, 6,274.32 and 3,569.44

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Solution

The fourth proportional to 4,191.52, 6,274.32 and 3,569.44 is: 5,343.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,191.52 : 6,274.32 = 3,569.44 : x
  2. Step 2: Convert to fraction form
    4,191.52/6,274.32 = 3,569.44/x
  3. Step 3: Cross multiply
    4,191.52x = 6,274.32 × 3,569.44
  4. Step 4: Simplify right side
    4,191.52x = 22,395,808.78
  5. Step 5: Solve for x
    x = 22,395,808.78/4,191.52
  6. Step 6: Final answer
    x = 5,343.12

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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.