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Finding the Fourth Proportional to 3,659.50, 5,475.48 and 2,566

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Solution

The fourth proportional to 3,659.50, 5,475.48 and 2,566 is: 3,839.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,659.50 : 5,475.48 = 2,566 : x
  2. Step 2: Convert to fraction form
    3,659.50/5,475.48 = 2,566/x
  3. Step 3: Cross multiply
    3,659.50x = 5,475.48 × 2,566
  4. Step 4: Simplify right side
    3,659.50x = 14,050,081.68
  5. Step 5: Solve for x
    x = 14,050,081.68/3,659.50
  6. Step 6: Final answer
    x = 3,839.34

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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.