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Finding the Fourth Proportional to 3,126.96, 4,317.84 and 2,196

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Solution

The fourth proportional to 3,126.96, 4,317.84 and 2,196 is: 3,032.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,126.96 : 4,317.84 = 2,196 : x
  2. Step 2: Convert to fraction form
    3,126.96/4,317.84 = 2,196/x
  3. Step 3: Cross multiply
    3,126.96x = 4,317.84 × 2,196
  4. Step 4: Simplify right side
    3,126.96x = 9,481,976.64
  5. Step 5: Solve for x
    x = 9,481,976.64/3,126.96
  6. Step 6: Final answer
    x = 3,032.33

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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.