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Finding the Fourth Proportional to 5,432.96, 8,142.08 and 3,890.56

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Solution

The fourth proportional to 5,432.96, 8,142.08 and 3,890.56 is: 5,830.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,432.96 : 8,142.08 = 3,890.56 : x
  2. Step 2: Convert to fraction form
    5,432.96/8,142.08 = 3,890.56/x
  3. Step 3: Cross multiply
    5,432.96x = 8,142.08 × 3,890.56
  4. Step 4: Simplify right side
    5,432.96x = 31,677,250.76
  5. Step 5: Solve for x
    x = 31,677,250.76/5,432.96
  6. Step 6: Final answer
    x = 5,830.57

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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.