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Finding the Fourth Proportional to 3,614.88, 5,424.01 and 1,535.38

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Solution

The fourth proportional to 3,614.88, 5,424.01 and 1,535.38 is: 2,303.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,614.88 : 5,424.01 = 1,535.38 : x
  2. Step 2: Convert to fraction form
    3,614.88/5,424.01 = 1,535.38/x
  3. Step 3: Cross multiply
    3,614.88x = 5,424.01 × 1,535.38
  4. Step 4: Simplify right side
    3,614.88x = 8,327,916.47
  5. Step 5: Solve for x
    x = 8,327,916.47/3,614.88
  6. Step 6: Final answer
    x = 2,303.79

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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.