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Finding the Fourth Proportional to 3,648.65, 5,475.20 and 1,701

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Solution

The fourth proportional to 3,648.65, 5,475.20 and 1,701 is: 2,552.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,648.65 : 5,475.20 = 1,701 : x
  2. Step 2: Convert to fraction form
    3,648.65/5,475.20 = 1,701/x
  3. Step 3: Cross multiply
    3,648.65x = 5,475.20 × 1,701
  4. Step 4: Simplify right side
    3,648.65x = 9,313,306.70
  5. Step 5: Solve for x
    x = 9,313,306.70/3,648.65
  6. Step 6: Final answer
    x = 2,552.54

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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.