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Finding the Fourth Proportional to 3,874.88, 5,810.50 and 1,407.96

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Solution

The fourth proportional to 3,874.88, 5,810.50 and 1,407.96 is: 2,111.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,874.88 : 5,810.50 = 1,407.96 : x
  2. Step 2: Convert to fraction form
    3,874.88/5,810.50 = 1,407.96/x
  3. Step 3: Cross multiply
    3,874.88x = 5,810.50 × 1,407.96
  4. Step 4: Simplify right side
    3,874.88x = 8,180,951.58
  5. Step 5: Solve for x
    x = 8,180,951.58/3,874.88
  6. Step 6: Final answer
    x = 2,111.28

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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.