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Finding the Fourth Proportional to 3,616.63, 5,425.76 and 1,151.60

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Solution

The fourth proportional to 3,616.63, 5,425.76 and 1,151.60 is: 1,727.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,616.63 : 5,425.76 = 1,151.60 : x
  2. Step 2: Convert to fraction form
    3,616.63/5,425.76 = 1,151.60/x
  3. Step 3: Cross multiply
    3,616.63x = 5,425.76 × 1,151.60
  4. Step 4: Simplify right side
    3,616.63x = 6,248,280.97
  5. Step 5: Solve for x
    x = 6,248,280.97/3,616.63
  6. Step 6: Final answer
    x = 1,727.65

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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.