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Finding the Fourth Proportional to 3,468.12, 5,200.96 and 1,002.28

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Solution

The fourth proportional to 3,468.12, 5,200.96 and 1,002.28 is: 1,503.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,468.12 : 5,200.96 = 1,002.28 : x
  2. Step 2: Convert to fraction form
    3,468.12/5,200.96 = 1,002.28/x
  3. Step 3: Cross multiply
    3,468.12x = 5,200.96 × 1,002.28
  4. Step 4: Simplify right side
    3,468.12x = 5,212,818.19
  5. Step 5: Solve for x
    x = 5,212,818.19/3,468.12
  6. Step 6: Final answer
    x = 1,503.07

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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.