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Finding the Fourth Proportional to 4,862.72, 6,713.78 and 3,741.68

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Solution

The fourth proportional to 4,862.72, 6,713.78 and 3,741.68 is: 5,166.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,862.72 : 6,713.78 = 3,741.68 : x
  2. Step 2: Convert to fraction form
    4,862.72/6,713.78 = 3,741.68/x
  3. Step 3: Cross multiply
    4,862.72x = 6,713.78 × 3,741.68
  4. Step 4: Simplify right side
    4,862.72x = 25,120,814.43
  5. Step 5: Solve for x
    x = 25,120,814.43/4,862.72
  6. Step 6: Final answer
    x = 5,166.00

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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.