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Finding the Fourth Proportional to 5,742.66, 8,615.48 and 2,409.12

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Solution

The fourth proportional to 5,742.66, 8,615.48 and 2,409.12 is: 3,614.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,742.66 : 8,615.48 = 2,409.12 : x
  2. Step 2: Convert to fraction form
    5,742.66/8,615.48 = 2,409.12/x
  3. Step 3: Cross multiply
    5,742.66x = 8,615.48 × 2,409.12
  4. Step 4: Simplify right side
    5,742.66x = 20,755,713.13
  5. Step 5: Solve for x
    x = 20,755,713.13/5,742.66
  6. Step 6: Final answer
    x = 3,614.30

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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.