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Finding the Fourth Proportional to 6,041.10, 9,061.04 and 1,659.20

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Solution

The fourth proportional to 6,041.10, 9,061.04 and 1,659.20 is: 2,488.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,041.10 : 9,061.04 = 1,659.20 : x
  2. Step 2: Convert to fraction form
    6,041.10/9,061.04 = 1,659.20/x
  3. Step 3: Cross multiply
    6,041.10x = 9,061.04 × 1,659.20
  4. Step 4: Simplify right side
    6,041.10x = 15,034,077.57
  5. Step 5: Solve for x
    x = 15,034,077.57/6,041.10
  6. Step 6: Final answer
    x = 2,488.63

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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.