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Finding the Fourth Proportional to 5,243.84, 7,866.88 and 1,781.04

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Solution

The fourth proportional to 5,243.84, 7,866.88 and 1,781.04 is: 2,671.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,243.84 : 7,866.88 = 1,781.04 : x
  2. Step 2: Convert to fraction form
    5,243.84/7,866.88 = 1,781.04/x
  3. Step 3: Cross multiply
    5,243.84x = 7,866.88 × 1,781.04
  4. Step 4: Simplify right side
    5,243.84x = 14,011,227.96
  5. Step 5: Solve for x
    x = 14,011,227.96/5,243.84
  6. Step 6: Final answer
    x = 2,671.94

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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.