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Finding the Fourth Proportional to 5,693.64, 8,542.16 and 2,922.27

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Solution

The fourth proportional to 5,693.64, 8,542.16 and 2,922.27 is: 4,384.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,693.64 : 8,542.16 = 2,922.27 : x
  2. Step 2: Convert to fraction form
    5,693.64/8,542.16 = 2,922.27/x
  3. Step 3: Cross multiply
    5,693.64x = 8,542.16 × 2,922.27
  4. Step 4: Simplify right side
    5,693.64x = 24,962,483.29
  5. Step 5: Solve for x
    x = 24,962,483.29/5,693.64
  6. Step 6: Final answer
    x = 4,384.27

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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.