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Finding the Fourth Proportional to 3,799.92, 5,686.90 and 3,184.32

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Solution

The fourth proportional to 3,799.92, 5,686.90 and 3,184.32 is: 4,765.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,799.92 : 5,686.90 = 3,184.32 : x
  2. Step 2: Convert to fraction form
    3,799.92/5,686.90 = 3,184.32/x
  3. Step 3: Cross multiply
    3,799.92x = 5,686.90 × 3,184.32
  4. Step 4: Simplify right side
    3,799.92x = 18,108,909.41
  5. Step 5: Solve for x
    x = 18,108,909.41/3,799.92
  6. Step 6: Final answer
    x = 4,765.60

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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.