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Finding the Fourth Proportional to 5,875.76, 8,813.46 and 2,177.90

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Solution

The fourth proportional to 5,875.76, 8,813.46 and 2,177.90 is: 3,266.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,875.76 : 8,813.46 = 2,177.90 : x
  2. Step 2: Convert to fraction form
    5,875.76/8,813.46 = 2,177.90/x
  3. Step 3: Cross multiply
    5,875.76x = 8,813.46 × 2,177.90
  4. Step 4: Simplify right side
    5,875.76x = 19,194,834.53
  5. Step 5: Solve for x
    x = 19,194,834.53/5,875.76
  6. Step 6: Final answer
    x = 3,266.78

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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.