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Finding the Fourth Proportional to 4,678.74, 6,458 and 2,766.33

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Solution

The fourth proportional to 4,678.74, 6,458 and 2,766.33 is: 3,818.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,678.74 : 6,458 = 2,766.33 : x
  2. Step 2: Convert to fraction form
    4,678.74/6,458 = 2,766.33/x
  3. Step 3: Cross multiply
    4,678.74x = 6,458 × 2,766.33
  4. Step 4: Simplify right side
    4,678.74x = 17,864,959.14
  5. Step 5: Solve for x
    x = 17,864,959.14/4,678.74
  6. Step 6: Final answer
    x = 3,818.33

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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.