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Finding the Fourth Proportional to 5,824.74, 8,737.02 and 1,442.19

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Solution

The fourth proportional to 5,824.74, 8,737.02 and 1,442.19 is: 2,163.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,824.74 : 8,737.02 = 1,442.19 : x
  2. Step 2: Convert to fraction form
    5,824.74/8,737.02 = 1,442.19/x
  3. Step 3: Cross multiply
    5,824.74x = 8,737.02 × 1,442.19
  4. Step 4: Simplify right side
    5,824.74x = 12,600,442.87
  5. Step 5: Solve for x
    x = 12,600,442.87/5,824.74
  6. Step 6: Final answer
    x = 2,163.26

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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.