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Finding the Fourth Proportional to 3,415.80, 5,120.04 and 1,442.52

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Solution

The fourth proportional to 3,415.80, 5,120.04 and 1,442.52 is: 2,162.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,415.80 : 5,120.04 = 1,442.52 : x
  2. Step 2: Convert to fraction form
    3,415.80/5,120.04 = 1,442.52/x
  3. Step 3: Cross multiply
    3,415.80x = 5,120.04 × 1,442.52
  4. Step 4: Simplify right side
    3,415.80x = 7,385,760.10
  5. Step 5: Solve for x
    x = 7,385,760.10/3,415.80
  6. Step 6: Final answer
    x = 2,162.23

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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.