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Finding the Fourth Proportional to 5,147.34, 7,103.23 and 2,909.17

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Solution

The fourth proportional to 5,147.34, 7,103.23 and 2,909.17 is: 4,014.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,147.34 : 7,103.23 = 2,909.17 : x
  2. Step 2: Convert to fraction form
    5,147.34/7,103.23 = 2,909.17/x
  3. Step 3: Cross multiply
    5,147.34x = 7,103.23 × 2,909.17
  4. Step 4: Simplify right side
    5,147.34x = 20,664,503.62
  5. Step 5: Solve for x
    x = 20,664,503.62/5,147.34
  6. Step 6: Final answer
    x = 4,014.60

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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.