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Finding the Fourth Proportional to 5,872.38, 8,812.16 and 2,361.74

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Solution

The fourth proportional to 5,872.38, 8,812.16 and 2,361.74 is: 3,544.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,872.38 : 8,812.16 = 2,361.74 : x
  2. Step 2: Convert to fraction form
    5,872.38/8,812.16 = 2,361.74/x
  3. Step 3: Cross multiply
    5,872.38x = 8,812.16 × 2,361.74
  4. Step 4: Simplify right side
    5,872.38x = 20,812,030.76
  5. Step 5: Solve for x
    x = 20,812,030.76/5,872.38
  6. Step 6: Final answer
    x = 3,544.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.