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Finding the Fourth Proportional to 4,106.78, 5,663.51 and 3,270.24

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Solution

The fourth proportional to 4,106.78, 5,663.51 and 3,270.24 is: 4,509.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,106.78 : 5,663.51 = 3,270.24 : x
  2. Step 2: Convert to fraction form
    4,106.78/5,663.51 = 3,270.24/x
  3. Step 3: Cross multiply
    4,106.78x = 5,663.51 × 3,270.24
  4. Step 4: Simplify right side
    4,106.78x = 18,521,020.59
  5. Step 5: Solve for x
    x = 18,521,020.59/4,106.78
  6. Step 6: Final answer
    x = 4,509.87

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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.