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Finding the Fourth Proportional to 3,475.80, 5,212.89 and 1,397.34

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Solution

The fourth proportional to 3,475.80, 5,212.89 and 1,397.34 is: 2,095.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,475.80 : 5,212.89 = 1,397.34 : x
  2. Step 2: Convert to fraction form
    3,475.80/5,212.89 = 1,397.34/x
  3. Step 3: Cross multiply
    3,475.80x = 5,212.89 × 1,397.34
  4. Step 4: Simplify right side
    3,475.80x = 7,284,179.71
  5. Step 5: Solve for x
    x = 7,284,179.71/3,475.80
  6. Step 6: Final answer
    x = 2,095.68

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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.