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Finding the Fourth Proportional to 5,212.20, 7,829.19 and 4,432.08

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Solution

The fourth proportional to 5,212.20, 7,829.19 and 4,432.08 is: 6,657.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,212.20 : 7,829.19 = 4,432.08 : x
  2. Step 2: Convert to fraction form
    5,212.20/7,829.19 = 4,432.08/x
  3. Step 3: Cross multiply
    5,212.20x = 7,829.19 × 4,432.08
  4. Step 4: Simplify right side
    5,212.20x = 34,699,596.42
  5. Step 5: Solve for x
    x = 34,699,596.42/5,212.20
  6. Step 6: Final answer
    x = 6,657.38

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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.