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Finding the Fourth Proportional to 5,659.58, 7,811.15 and 3,142.49

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Solution

The fourth proportional to 5,659.58, 7,811.15 and 3,142.49 is: 4,337.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,659.58 : 7,811.15 = 3,142.49 : x
  2. Step 2: Convert to fraction form
    5,659.58/7,811.15 = 3,142.49/x
  3. Step 3: Cross multiply
    5,659.58x = 7,811.15 × 3,142.49
  4. Step 4: Simplify right side
    5,659.58x = 24,546,445.05
  5. Step 5: Solve for x
    x = 24,546,445.05/5,659.58
  6. Step 6: Final answer
    x = 4,337.15

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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.