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Finding the Fourth Proportional to 3,006.44, 4,148.44 and 1,827.29

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Solution

The fourth proportional to 3,006.44, 4,148.44 and 1,827.29 is: 2,521.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,006.44 : 4,148.44 = 1,827.29 : x
  2. Step 2: Convert to fraction form
    3,006.44/4,148.44 = 1,827.29/x
  3. Step 3: Cross multiply
    3,006.44x = 4,148.44 × 1,827.29
  4. Step 4: Simplify right side
    3,006.44x = 7,580,402.93
  5. Step 5: Solve for x
    x = 7,580,402.93/3,006.44
  6. Step 6: Final answer
    x = 2,521.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.