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Finding the Fourth Proportional to 5,340.38, 8,011.80 and 1,877.63

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Solution

The fourth proportional to 5,340.38, 8,011.80 and 1,877.63 is: 2,816.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,340.38 : 8,011.80 = 1,877.63 : x
  2. Step 2: Convert to fraction form
    5,340.38/8,011.80 = 1,877.63/x
  3. Step 3: Cross multiply
    5,340.38x = 8,011.80 × 1,877.63
  4. Step 4: Simplify right side
    5,340.38x = 15,043,155.98
  5. Step 5: Solve for x
    x = 15,043,155.98/5,340.38
  6. Step 6: Final answer
    x = 2,816.87

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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.