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Finding the Fourth Proportional to 5,709.54, 8,566.41 and 4,078.92

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Solution

The fourth proportional to 5,709.54, 8,566.41 and 4,078.92 is: 6,119.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,709.54 : 8,566.41 = 4,078.92 : x
  2. Step 2: Convert to fraction form
    5,709.54/8,566.41 = 4,078.92/x
  3. Step 3: Cross multiply
    5,709.54x = 8,566.41 × 4,078.92
  4. Step 4: Simplify right side
    5,709.54x = 34,941,701.08
  5. Step 5: Solve for x
    x = 34,941,701.08/5,709.54
  6. Step 6: Final answer
    x = 6,119.88

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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.