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Finding the Fourth Proportional to 5,303.38, 7,952.89 and 2,301.61

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Solution

The fourth proportional to 5,303.38, 7,952.89 and 2,301.61 is: 3,451.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,303.38 : 7,952.89 = 2,301.61 : x
  2. Step 2: Convert to fraction form
    5,303.38/7,952.89 = 2,301.61/x
  3. Step 3: Cross multiply
    5,303.38x = 7,952.89 × 2,301.61
  4. Step 4: Simplify right side
    5,303.38x = 18,304,439.64
  5. Step 5: Solve for x
    x = 18,304,439.64/5,303.38
  6. Step 6: Final answer
    x = 3,451.47

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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.