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Finding the Fourth Proportional to 6,106.75, 8,419.17 and 4,851.97

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Solution

The fourth proportional to 6,106.75, 8,419.17 and 4,851.97 is: 6,689.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,106.75 : 8,419.17 = 4,851.97 : x
  2. Step 2: Convert to fraction form
    6,106.75/8,419.17 = 4,851.97/x
  3. Step 3: Cross multiply
    6,106.75x = 8,419.17 × 4,851.97
  4. Step 4: Simplify right side
    6,106.75x = 40,849,560.26
  5. Step 5: Solve for x
    x = 40,849,560.26/6,106.75
  6. Step 6: Final answer
    x = 6,689.25

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