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Finding the Fourth Proportional to 3,468.50, 5,201.96 and 1,002.77

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Solution

The fourth proportional to 3,468.50, 5,201.96 and 1,002.77 is: 1,503.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,468.50 : 5,201.96 = 1,002.77 : x
  2. Step 2: Convert to fraction form
    3,468.50/5,201.96 = 1,002.77/x
  3. Step 3: Cross multiply
    3,468.50x = 5,201.96 × 1,002.77
  4. Step 4: Simplify right side
    3,468.50x = 5,216,343.42
  5. Step 5: Solve for x
    x = 5,216,343.42/3,468.50
  6. Step 6: Final answer
    x = 1,503.92

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.