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Finding the Fourth Proportional to 5,306.64, 7,963.59 and 1,843.89

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Solution

The fourth proportional to 5,306.64, 7,963.59 and 1,843.89 is: 2,767.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,306.64 : 7,963.59 = 1,843.89 : x
  2. Step 2: Convert to fraction form
    5,306.64/7,963.59 = 1,843.89/x
  3. Step 3: Cross multiply
    5,306.64x = 7,963.59 × 1,843.89
  4. Step 4: Simplify right side
    5,306.64x = 14,683,983.97
  5. Step 5: Solve for x
    x = 14,683,983.97/5,306.64
  6. Step 6: Final answer
    x = 2,767.10

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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.