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Finding the Fourth Proportional to 4,006.49, 6,009.78 and 3,146.27

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Solution

The fourth proportional to 4,006.49, 6,009.78 and 3,146.27 is: 4,719.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,006.49 : 6,009.78 = 3,146.27 : x
  2. Step 2: Convert to fraction form
    4,006.49/6,009.78 = 3,146.27/x
  3. Step 3: Cross multiply
    4,006.49x = 6,009.78 × 3,146.27
  4. Step 4: Simplify right side
    4,006.49x = 18,908,390.52
  5. Step 5: Solve for x
    x = 18,908,390.52/4,006.49
  6. Step 6: Final answer
    x = 4,719.44

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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.