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Finding the Fourth Proportional to 5,502.61, 8,255.25 and 3,164.11

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Solution

The fourth proportional to 5,502.61, 8,255.25 and 3,164.11 is: 4,746.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,502.61 : 8,255.25 = 3,164.11 : x
  2. Step 2: Convert to fraction form
    5,502.61/8,255.25 = 3,164.11/x
  3. Step 3: Cross multiply
    5,502.61x = 8,255.25 × 3,164.11
  4. Step 4: Simplify right side
    5,502.61x = 26,120,519.08
  5. Step 5: Solve for x
    x = 26,120,519.08/5,502.61
  6. Step 6: Final answer
    x = 4,746.93

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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.