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Finding the Fourth Proportional to 3,761.06, 5,642.80 and 1,570.41

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Solution

The fourth proportional to 3,761.06, 5,642.80 and 1,570.41 is: 2,356.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,761.06 : 5,642.80 = 1,570.41 : x
  2. Step 2: Convert to fraction form
    3,761.06/5,642.80 = 1,570.41/x
  3. Step 3: Cross multiply
    3,761.06x = 5,642.80 × 1,570.41
  4. Step 4: Simplify right side
    3,761.06x = 8,861,505.62
  5. Step 5: Solve for x
    x = 8,861,505.62/3,761.06
  6. Step 6: Final answer
    x = 2,356.12

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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.