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Finding the Fourth Proportional to 5,826.93, 8,737.79 and 2,126.57

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Solution

The fourth proportional to 5,826.93, 8,737.79 and 2,126.57 is: 3,188.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,826.93 : 8,737.79 = 2,126.57 : x
  2. Step 2: Convert to fraction form
    5,826.93/8,737.79 = 2,126.57/x
  3. Step 3: Cross multiply
    5,826.93x = 8,737.79 × 2,126.57
  4. Step 4: Simplify right side
    5,826.93x = 18,581,483.71
  5. Step 5: Solve for x
    x = 18,581,483.71/5,826.93
  6. Step 6: Final answer
    x = 3,188.90

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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.