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Finding the Fourth Proportional to 5,414.68, 8,123.12 and 3,075.81

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Solution

The fourth proportional to 5,414.68, 8,123.12 and 3,075.81 is: 4,614.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,414.68 : 8,123.12 = 3,075.81 : x
  2. Step 2: Convert to fraction form
    5,414.68/8,123.12 = 3,075.81/x
  3. Step 3: Cross multiply
    5,414.68x = 8,123.12 × 3,075.81
  4. Step 4: Simplify right side
    5,414.68x = 24,985,139.42
  5. Step 5: Solve for x
    x = 24,985,139.42/5,414.68
  6. Step 6: Final answer
    x = 4,614.33

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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.