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Finding the Fourth Proportional to 5,438.78, 7,505.51 and 3,200.66

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Solution

The fourth proportional to 5,438.78, 7,505.51 and 3,200.66 is: 4,416.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,438.78 : 7,505.51 = 3,200.66 : x
  2. Step 2: Convert to fraction form
    5,438.78/7,505.51 = 3,200.66/x
  3. Step 3: Cross multiply
    5,438.78x = 7,505.51 × 3,200.66
  4. Step 4: Simplify right side
    5,438.78x = 24,022,532.11
  5. Step 5: Solve for x
    x = 24,022,532.11/5,438.78
  6. Step 6: Final answer
    x = 4,416.90

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.