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Finding the Fourth Proportional to 3,422.58, 5,135.10 and 1,202.02

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Solution

The fourth proportional to 3,422.58, 5,135.10 and 1,202.02 is: 1,803.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,422.58 : 5,135.10 = 1,202.02 : x
  2. Step 2: Convert to fraction form
    3,422.58/5,135.10 = 1,202.02/x
  3. Step 3: Cross multiply
    3,422.58x = 5,135.10 × 1,202.02
  4. Step 4: Simplify right side
    3,422.58x = 6,172,517.46
  5. Step 5: Solve for x
    x = 6,172,517.46/3,422.58
  6. Step 6: Final answer
    x = 1,803.47

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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.