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Finding the Fourth Proportional to 3,468.07, 5,200.84 and 1,002.39

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Solution

The fourth proportional to 3,468.07, 5,200.84 and 1,002.39 is: 1,503.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,468.07 : 5,200.84 = 1,002.39 : x
  2. Step 2: Convert to fraction form
    3,468.07/5,200.84 = 1,002.39/x
  3. Step 3: Cross multiply
    3,468.07x = 5,200.84 × 1,002.39
  4. Step 4: Simplify right side
    3,468.07x = 5,213,270.01
  5. Step 5: Solve for x
    x = 5,213,270.01/3,468.07
  6. Step 6: Final answer
    x = 1,503.22

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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.