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Finding the Fourth Proportional to 3,499.39, 5,251.11 and 1,307.80

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Solution

The fourth proportional to 3,499.39, 5,251.11 and 1,307.80 is: 1,962.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,499.39 : 5,251.11 = 1,307.80 : x
  2. Step 2: Convert to fraction form
    3,499.39/5,251.11 = 1,307.80/x
  3. Step 3: Cross multiply
    3,499.39x = 5,251.11 × 1,307.80
  4. Step 4: Simplify right side
    3,499.39x = 6,867,401.66
  5. Step 5: Solve for x
    x = 6,867,401.66/3,499.39
  6. Step 6: Final answer
    x = 1,962.46

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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.