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Finding the Fourth Proportional to 3,349.47, 5,024.21 and 1,616.88

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Solution

The fourth proportional to 3,349.47, 5,024.21 and 1,616.88 is: 2,425.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,349.47 : 5,024.21 = 1,616.88 : x
  2. Step 2: Convert to fraction form
    3,349.47/5,024.21 = 1,616.88/x
  3. Step 3: Cross multiply
    3,349.47x = 5,024.21 × 1,616.88
  4. Step 4: Simplify right side
    3,349.47x = 8,123,544.66
  5. Step 5: Solve for x
    x = 8,123,544.66/3,349.47
  6. Step 6: Final answer
    x = 2,425.32

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1.5x scale

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.