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Finding the Fourth Proportional to 5,919.64, 8,170.14 and 3,402.52

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Solution

The fourth proportional to 5,919.64, 8,170.14 and 3,402.52 is: 4,696.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,919.64 : 8,170.14 = 3,402.52 : x
  2. Step 2: Convert to fraction form
    5,919.64/8,170.14 = 3,402.52/x
  3. Step 3: Cross multiply
    5,919.64x = 8,170.14 × 3,402.52
  4. Step 4: Simplify right side
    5,919.64x = 27,799,064.75
  5. Step 5: Solve for x
    x = 27,799,064.75/5,919.64
  6. Step 6: Final answer
    x = 4,696.07

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.