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Finding the Fourth Proportional to 3,761.26, 5,642.88 and 1,421.30

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Solution

The fourth proportional to 3,761.26, 5,642.88 and 1,421.30 is: 2,132.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,761.26 : 5,642.88 = 1,421.30 : x
  2. Step 2: Convert to fraction form
    3,761.26/5,642.88 = 1,421.30/x
  3. Step 3: Cross multiply
    3,761.26x = 5,642.88 × 1,421.30
  4. Step 4: Simplify right side
    3,761.26x = 8,020,225.34
  5. Step 5: Solve for x
    x = 8,020,225.34/3,761.26
  6. Step 6: Final answer
    x = 2,132.32

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.