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Finding the Fourth Proportional to 5,253.13, 7,879.46 and 1,304.29

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Solution

The fourth proportional to 5,253.13, 7,879.46 and 1,304.29 is: 1,956.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,253.13 : 7,879.46 = 1,304.29 : x
  2. Step 2: Convert to fraction form
    5,253.13/7,879.46 = 1,304.29/x
  3. Step 3: Cross multiply
    5,253.13x = 7,879.46 × 1,304.29
  4. Step 4: Simplify right side
    5,253.13x = 10,277,130.90
  5. Step 5: Solve for x
    x = 10,277,130.90/5,253.13
  6. Step 6: Final answer
    x = 1,956.38

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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.