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Finding the Fourth Proportional to 5,049.41, 7,574.12 and 1,761.71

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Solution

The fourth proportional to 5,049.41, 7,574.12 and 1,761.71 is: 2,642.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,049.41 : 7,574.12 = 1,761.71 : x
  2. Step 2: Convert to fraction form
    5,049.41/7,574.12 = 1,761.71/x
  3. Step 3: Cross multiply
    5,049.41x = 7,574.12 × 1,761.71
  4. Step 4: Simplify right side
    5,049.41x = 13,343,402.95
  5. Step 5: Solve for x
    x = 13,343,402.95/5,049.41
  6. Step 6: Final answer
    x = 2,642.57

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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.