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Finding the Fourth Proportional to 6,227.76, 8,594 and 3,433.36

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Solution

The fourth proportional to 6,227.76, 8,594 and 3,433.36 is: 4,737.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,227.76 : 8,594 = 3,433.36 : x
  2. Step 2: Convert to fraction form
    6,227.76/8,594 = 3,433.36/x
  3. Step 3: Cross multiply
    6,227.76x = 8,594 × 3,433.36
  4. Step 4: Simplify right side
    6,227.76x = 29,506,295.84
  5. Step 5: Solve for x
    x = 29,506,295.84/6,227.76
  6. Step 6: Final answer
    x = 4,737.87

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.