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Finding the Fourth Proportional to 5,824.87, 8,737.08 and 1,442.23

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Solution

The fourth proportional to 5,824.87, 8,737.08 and 1,442.23 is: 2,163.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,824.87 : 8,737.08 = 1,442.23 : x
  2. Step 2: Convert to fraction form
    5,824.87/8,737.08 = 1,442.23/x
  3. Step 3: Cross multiply
    5,824.87x = 8,737.08 × 1,442.23
  4. Step 4: Simplify right side
    5,824.87x = 12,600,878.89
  5. Step 5: Solve for x
    x = 12,600,878.89/5,824.87
  6. Step 6: Final answer
    x = 2,163.29

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1.5x scale

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.