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Finding the Fourth Proportional to 3,874.69, 5,810.22 and 1,407.79

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Solution

The fourth proportional to 3,874.69, 5,810.22 and 1,407.79 is: 2,111.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,874.69 : 5,810.22 = 1,407.79 : x
  2. Step 2: Convert to fraction form
    3,874.69/5,810.22 = 1,407.79/x
  3. Step 3: Cross multiply
    3,874.69x = 5,810.22 × 1,407.79
  4. Step 4: Simplify right side
    3,874.69x = 8,179,569.61
  5. Step 5: Solve for x
    x = 8,179,569.61/3,874.69
  6. Step 6: Final answer
    x = 2,111.03

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.