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Finding the Fourth Proportional to 3,006.78, 4,148.13 and 2,122.26

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Solution

The fourth proportional to 3,006.78, 4,148.13 and 2,122.26 is: 2,927.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,006.78 : 4,148.13 = 2,122.26 : x
  2. Step 2: Convert to fraction form
    3,006.78/4,148.13 = 2,122.26/x
  3. Step 3: Cross multiply
    3,006.78x = 4,148.13 × 2,122.26
  4. Step 4: Simplify right side
    3,006.78x = 8,803,410.37
  5. Step 5: Solve for x
    x = 8,803,410.37/3,006.78
  6. Step 6: Final answer
    x = 2,927.85

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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.