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Finding the Fourth Proportional to 3,767.12, 5,648.16 and 1,455.92

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Solution

The fourth proportional to 3,767.12, 5,648.16 and 1,455.92 is: 2,182.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,767.12 : 5,648.16 = 1,455.92 : x
  2. Step 2: Convert to fraction form
    3,767.12/5,648.16 = 1,455.92/x
  3. Step 3: Cross multiply
    3,767.12x = 5,648.16 × 1,455.92
  4. Step 4: Simplify right side
    3,767.12x = 8,223,269.11
  5. Step 5: Solve for x
    x = 8,223,269.11/3,767.12
  6. Step 6: Final answer
    x = 2,182.91

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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.