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Finding the Fourth Proportional to 4,543.32, 6,805.71 and 2,196.24

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Solution

The fourth proportional to 4,543.32, 6,805.71 and 2,196.24 is: 3,289.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,543.32 : 6,805.71 = 2,196.24 : x
  2. Step 2: Convert to fraction form
    4,543.32/6,805.71 = 2,196.24/x
  3. Step 3: Cross multiply
    4,543.32x = 6,805.71 × 2,196.24
  4. Step 4: Simplify right side
    4,543.32x = 14,946,972.53
  5. Step 5: Solve for x
    x = 14,946,972.53/4,543.32
  6. Step 6: Final answer
    x = 3,289.88

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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.