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Finding the Fourth Proportional to 5,876.28, 8,814.76 and 2,365.74

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Solution

The fourth proportional to 5,876.28, 8,814.76 and 2,365.74 is: 3,548.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,876.28 : 8,814.76 = 2,365.74 : x
  2. Step 2: Convert to fraction form
    5,876.28/8,814.76 = 2,365.74/x
  3. Step 3: Cross multiply
    5,876.28x = 8,814.76 × 2,365.74
  4. Step 4: Simplify right side
    5,876.28x = 20,853,424.41
  5. Step 5: Solve for x
    x = 20,853,424.41/5,876.28
  6. Step 6: Final answer
    x = 3,548.75

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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.