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Finding the Fourth Proportional to 5,098.56, 7,036.30 and 3,209.42

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Solution

The fourth proportional to 5,098.56, 7,036.30 and 3,209.42 is: 4,429.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,098.56 : 7,036.30 = 3,209.42 : x
  2. Step 2: Convert to fraction form
    5,098.56/7,036.30 = 3,209.42/x
  3. Step 3: Cross multiply
    5,098.56x = 7,036.30 × 3,209.42
  4. Step 4: Simplify right side
    5,098.56x = 22,582,441.95
  5. Step 5: Solve for x
    x = 22,582,441.95/5,098.56
  6. Step 6: Final answer
    x = 4,429.18

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.