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Finding the Fourth Proportional to 3,108.88, 4,663.32 and 917.57

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Solution

The fourth proportional to 3,108.88, 4,663.32 and 917.57 is: 1,376.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,108.88 : 4,663.32 = 917.57 : x
  2. Step 2: Convert to fraction form
    3,108.88/4,663.32 = 917.57/x
  3. Step 3: Cross multiply
    3,108.88x = 4,663.32 × 917.57
  4. Step 4: Simplify right side
    3,108.88x = 4,278,917.94
  5. Step 5: Solve for x
    x = 4,278,917.94/3,108.88
  6. Step 6: Final answer
    x = 1,376.36

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.