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Finding the Fourth Proportional to 5,813.92, 8,024 and 3,575.88

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Solution

The fourth proportional to 5,813.92, 8,024 and 3,575.88 is: 4,935.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,813.92 : 8,024 = 3,575.88 : x
  2. Step 2: Convert to fraction form
    5,813.92/8,024 = 3,575.88/x
  3. Step 3: Cross multiply
    5,813.92x = 8,024 × 3,575.88
  4. Step 4: Simplify right side
    5,813.92x = 28,692,861.12
  5. Step 5: Solve for x
    x = 28,692,861.12/5,813.92
  6. Step 6: Final answer
    x = 4,935.20

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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.