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Finding the Fourth Proportional to 4,761.23, 7,140.02 and 1,642.32

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Solution

The fourth proportional to 4,761.23, 7,140.02 and 1,642.32 is: 2,462.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,761.23 : 7,140.02 = 1,642.32 : x
  2. Step 2: Convert to fraction form
    4,761.23/7,140.02 = 1,642.32/x
  3. Step 3: Cross multiply
    4,761.23x = 7,140.02 × 1,642.32
  4. Step 4: Simplify right side
    4,761.23x = 11,726,189.43
  5. Step 5: Solve for x
    x = 11,726,189.43/4,761.23
  6. Step 6: Final answer
    x = 2,462.85

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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.