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Finding the Fourth Proportional to 5,390, 7,438.20 and 3,734.96

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Solution

The fourth proportional to 5,390, 7,438.20 and 3,734.96 is: 5,154.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,390 : 7,438.20 = 3,734.96 : x
  2. Step 2: Convert to fraction form
    5,390/7,438.20 = 3,734.96/x
  3. Step 3: Cross multiply
    5,390x = 7,438.20 × 3,734.96
  4. Step 4: Simplify right side
    5,390x = 27,781,379.47
  5. Step 5: Solve for x
    x = 27,781,379.47/5,390
  6. Step 6: Final answer
    x = 5,154.24

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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.