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Finding the Fourth Proportional to 3,490.56, 5,235.03 and 1,642.95

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Solution

The fourth proportional to 3,490.56, 5,235.03 and 1,642.95 is: 2,464.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,490.56 : 5,235.03 = 1,642.95 : x
  2. Step 2: Convert to fraction form
    3,490.56/5,235.03 = 1,642.95/x
  3. Step 3: Cross multiply
    3,490.56x = 5,235.03 × 1,642.95
  4. Step 4: Simplify right side
    3,490.56x = 8,600,892.54
  5. Step 5: Solve for x
    x = 8,600,892.54/3,490.56
  6. Step 6: Final answer
    x = 2,464.04

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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.