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Finding the Fourth Proportional to 5,129.40, 7,697.88 and 2,209.89

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Solution

The fourth proportional to 5,129.40, 7,697.88 and 2,209.89 is: 3,316.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,129.40 : 7,697.88 = 2,209.89 : x
  2. Step 2: Convert to fraction form
    5,129.40/7,697.88 = 2,209.89/x
  3. Step 3: Cross multiply
    5,129.40x = 7,697.88 × 2,209.89
  4. Step 4: Simplify right side
    5,129.40x = 17,011,468.03
  5. Step 5: Solve for x
    x = 17,011,468.03/5,129.40
  6. Step 6: Final answer
    x = 3,316.46

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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.