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Finding the Fourth Proportional to 4,180.97, 6,272.42 and 1,407.57

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Solution

The fourth proportional to 4,180.97, 6,272.42 and 1,407.57 is: 2,111.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,180.97 : 6,272.42 = 1,407.57 : x
  2. Step 2: Convert to fraction form
    4,180.97/6,272.42 = 1,407.57/x
  3. Step 3: Cross multiply
    4,180.97x = 6,272.42 × 1,407.57
  4. Step 4: Simplify right side
    4,180.97x = 8,828,847.50
  5. Step 5: Solve for x
    x = 8,828,847.50/4,180.97
  6. Step 6: Final answer
    x = 2,111.68

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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.