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Finding the Fourth Proportional to 4,166.76, 5,747.58 and 2,841.08

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Solution

The fourth proportional to 4,166.76, 5,747.58 and 2,841.08 is: 3,918.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,166.76 : 5,747.58 = 2,841.08 : x
  2. Step 2: Convert to fraction form
    4,166.76/5,747.58 = 2,841.08/x
  3. Step 3: Cross multiply
    4,166.76x = 5,747.58 × 2,841.08
  4. Step 4: Simplify right side
    4,166.76x = 16,329,334.59
  5. Step 5: Solve for x
    x = 16,329,334.59/4,166.76
  6. Step 6: Final answer
    x = 3,918.95

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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.