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Finding the Fourth Proportional to 5,876.69, 8,817.62 and 2,178.14

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Solution

The fourth proportional to 5,876.69, 8,817.62 and 2,178.14 is: 3,268.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,876.69 : 8,817.62 = 2,178.14 : x
  2. Step 2: Convert to fraction form
    5,876.69/8,817.62 = 2,178.14/x
  3. Step 3: Cross multiply
    5,876.69x = 8,817.62 × 2,178.14
  4. Step 4: Simplify right side
    5,876.69x = 19,205,955.85
  5. Step 5: Solve for x
    x = 19,205,955.85/5,876.69
  6. Step 6: Final answer
    x = 3,268.16

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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.