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Finding the Fourth Proportional to 3,468.80, 5,202.38 and 1,390.34

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Solution

The fourth proportional to 3,468.80, 5,202.38 and 1,390.34 is: 2,085.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,468.80 : 5,202.38 = 1,390.34 : x
  2. Step 2: Convert to fraction form
    3,468.80/5,202.38 = 1,390.34/x
  3. Step 3: Cross multiply
    3,468.80x = 5,202.38 × 1,390.34
  4. Step 4: Simplify right side
    3,468.80x = 7,233,077.01
  5. Step 5: Solve for x
    x = 7,233,077.01/3,468.80
  6. Step 6: Final answer
    x = 2,085.18

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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.