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Finding the Fourth Proportional to 4,103.76, 5,663.16 and 2,240.76

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Solution

The fourth proportional to 4,103.76, 5,663.16 and 2,240.76 is: 3,092.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,103.76 : 5,663.16 = 2,240.76 : x
  2. Step 2: Convert to fraction form
    4,103.76/5,663.16 = 2,240.76/x
  3. Step 3: Cross multiply
    4,103.76x = 5,663.16 × 2,240.76
  4. Step 4: Simplify right side
    4,103.76x = 12,689,782.40
  5. Step 5: Solve for x
    x = 12,689,782.40/4,103.76
  6. Step 6: Final answer
    x = 3,092.23

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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.