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Finding the Fourth Proportional to 3,920.46, 5,881.68 and 1,729.80

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Solution

The fourth proportional to 3,920.46, 5,881.68 and 1,729.80 is: 2,595.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,920.46 : 5,881.68 = 1,729.80 : x
  2. Step 2: Convert to fraction form
    3,920.46/5,881.68 = 1,729.80/x
  3. Step 3: Cross multiply
    3,920.46x = 5,881.68 × 1,729.80
  4. Step 4: Simplify right side
    3,920.46x = 10,174,130.06
  5. Step 5: Solve for x
    x = 10,174,130.06/3,920.46
  6. Step 6: Final answer
    x = 2,595.14

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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.