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Finding the Fourth Proportional to 3,468.68, 5,203.88 and 1,388.13

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Solution

The fourth proportional to 3,468.68, 5,203.88 and 1,388.13 is: 2,082.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,468.68 : 5,203.88 = 1,388.13 : x
  2. Step 2: Convert to fraction form
    3,468.68/5,203.88 = 1,388.13/x
  3. Step 3: Cross multiply
    3,468.68x = 5,203.88 × 1,388.13
  4. Step 4: Simplify right side
    3,468.68x = 7,223,661.94
  5. Step 5: Solve for x
    x = 7,223,661.94/3,468.68
  6. Step 6: Final answer
    x = 2,082.54

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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.