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Finding the Fourth Proportional to 3,791.65, 5,686.95 and 1,452.24

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Solution

The fourth proportional to 3,791.65, 5,686.95 and 1,452.24 is: 2,178.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,791.65 : 5,686.95 = 1,452.24 : x
  2. Step 2: Convert to fraction form
    3,791.65/5,686.95 = 1,452.24/x
  3. Step 3: Cross multiply
    3,791.65x = 5,686.95 × 1,452.24
  4. Step 4: Simplify right side
    3,791.65x = 8,258,823.22
  5. Step 5: Solve for x
    x = 8,258,823.22/3,791.65
  6. Step 6: Final answer
    x = 2,178.16

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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.