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Finding the Fourth Proportional to 3,439.05, 5,158.51 and 842.01

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Solution

The fourth proportional to 3,439.05, 5,158.51 and 842.01 is: 1,263.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,439.05 : 5,158.51 = 842.01 : x
  2. Step 2: Convert to fraction form
    3,439.05/5,158.51 = 842.01/x
  3. Step 3: Cross multiply
    3,439.05x = 5,158.51 × 842.01
  4. Step 4: Simplify right side
    3,439.05x = 4,343,517.01
  5. Step 5: Solve for x
    x = 4,343,517.01/3,439.05
  6. Step 6: Final answer
    x = 1,263.00

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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.