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Finding the Fourth Proportional to 3,473.46, 5,207.40 and 1,365.30

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Solution

The fourth proportional to 3,473.46, 5,207.40 and 1,365.30 is: 2,046.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,473.46 : 5,207.40 = 1,365.30 : x
  2. Step 2: Convert to fraction form
    3,473.46/5,207.40 = 1,365.30/x
  3. Step 3: Cross multiply
    3,473.46x = 5,207.40 × 1,365.30
  4. Step 4: Simplify right side
    3,473.46x = 7,109,663.22
  5. Step 5: Solve for x
    x = 7,109,663.22/3,473.46
  6. Step 6: Final answer
    x = 2,046.85

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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.