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Finding the Fourth Proportional to 5,348.12, 7,983.02 and 4,716.86

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Solution

The fourth proportional to 5,348.12, 7,983.02 and 4,716.86 is: 7,040.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,348.12 : 7,983.02 = 4,716.86 : x
  2. Step 2: Convert to fraction form
    5,348.12/7,983.02 = 4,716.86/x
  3. Step 3: Cross multiply
    5,348.12x = 7,983.02 × 4,716.86
  4. Step 4: Simplify right side
    5,348.12x = 37,654,787.72
  5. Step 5: Solve for x
    x = 37,654,787.72/5,348.12
  6. Step 6: Final answer
    x = 7,040.75

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.