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Finding the Fourth Proportional to 4,353.90, 6,530.82 and 1,432.44

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Solution

The fourth proportional to 4,353.90, 6,530.82 and 1,432.44 is: 2,148.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,353.90 : 6,530.82 = 1,432.44 : x
  2. Step 2: Convert to fraction form
    4,353.90/6,530.82 = 1,432.44/x
  3. Step 3: Cross multiply
    4,353.90x = 6,530.82 × 1,432.44
  4. Step 4: Simplify right side
    4,353.90x = 9,355,007.80
  5. Step 5: Solve for x
    x = 9,355,007.80/4,353.90
  6. Step 6: Final answer
    x = 2,148.65

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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.