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Finding the Fourth Proportional to 4,841.98, 6,682.71 and 2,746.78

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Solution

The fourth proportional to 4,841.98, 6,682.71 and 2,746.78 is: 3,791.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,841.98 : 6,682.71 = 2,746.78 : x
  2. Step 2: Convert to fraction form
    4,841.98/6,682.71 = 2,746.78/x
  3. Step 3: Cross multiply
    4,841.98x = 6,682.71 × 2,746.78
  4. Step 4: Simplify right side
    4,841.98x = 18,355,934.17
  5. Step 5: Solve for x
    x = 18,355,934.17/4,841.98
  6. Step 6: Final answer
    x = 3,791.00

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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.