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Finding the Fourth Proportional to 6,227.68, 8,594.04 and 3,433

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Solution

The fourth proportional to 6,227.68, 8,594.04 and 3,433 is: 4,737.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,227.68 : 8,594.04 = 3,433 : x
  2. Step 2: Convert to fraction form
    6,227.68/8,594.04 = 3,433/x
  3. Step 3: Cross multiply
    6,227.68x = 8,594.04 × 3,433
  4. Step 4: Simplify right side
    6,227.68x = 29,503,339.32
  5. Step 5: Solve for x
    x = 29,503,339.32/6,227.68
  6. Step 6: Final answer
    x = 4,737.45

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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.