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Finding the Fourth Proportional to 5,875.59, 8,108.26 and 3,223

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Solution

The fourth proportional to 5,875.59, 8,108.26 and 3,223 is: 4,447.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,875.59 : 8,108.26 = 3,223 : x
  2. Step 2: Convert to fraction form
    5,875.59/8,108.26 = 3,223/x
  3. Step 3: Cross multiply
    5,875.59x = 8,108.26 × 3,223
  4. Step 4: Simplify right side
    5,875.59x = 26,132,921.98
  5. Step 5: Solve for x
    x = 26,132,921.98/5,875.59
  6. Step 6: Final answer
    x = 4,447.71

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.