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Finding the Fourth Proportional to 3,642.83, 5,464.26 and 1,562.66

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Solution

The fourth proportional to 3,642.83, 5,464.26 and 1,562.66 is: 2,344.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,642.83 : 5,464.26 = 1,562.66 : x
  2. Step 2: Convert to fraction form
    3,642.83/5,464.26 = 1,562.66/x
  3. Step 3: Cross multiply
    3,642.83x = 5,464.26 × 1,562.66
  4. Step 4: Simplify right side
    3,642.83x = 8,538,780.53
  5. Step 5: Solve for x
    x = 8,538,780.53/3,642.83
  6. Step 6: Final answer
    x = 2,344.00

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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.