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Finding the Fourth Proportional to 3,613.98, 5,422.18 and 1,533.90

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Solution

The fourth proportional to 3,613.98, 5,422.18 and 1,533.90 is: 2,301.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,613.98 : 5,422.18 = 1,533.90 : x
  2. Step 2: Convert to fraction form
    3,613.98/5,422.18 = 1,533.90/x
  3. Step 3: Cross multiply
    3,613.98x = 5,422.18 × 1,533.90
  4. Step 4: Simplify right side
    3,613.98x = 8,317,081.90
  5. Step 5: Solve for x
    x = 8,317,081.90/3,613.98
  6. Step 6: Final answer
    x = 2,301.36

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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.