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Finding the Fourth Proportional to 3,767.04, 5,650.88 and 1,031.04

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Solution

The fourth proportional to 3,767.04, 5,650.88 and 1,031.04 is: 1,546.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,767.04 : 5,650.88 = 1,031.04 : x
  2. Step 2: Convert to fraction form
    3,767.04/5,650.88 = 1,031.04/x
  3. Step 3: Cross multiply
    3,767.04x = 5,650.88 × 1,031.04
  4. Step 4: Simplify right side
    3,767.04x = 5,826,283.32
  5. Step 5: Solve for x
    x = 5,826,283.32/3,767.04
  6. Step 6: Final answer
    x = 1,546.65

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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.