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Finding the Fourth Proportional to 4,878.46, 6,732.40 and 2,782.78

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Solution

The fourth proportional to 4,878.46, 6,732.40 and 2,782.78 is: 3,840.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,878.46 : 6,732.40 = 2,782.78 : x
  2. Step 2: Convert to fraction form
    4,878.46/6,732.40 = 2,782.78/x
  3. Step 3: Cross multiply
    4,878.46x = 6,732.40 × 2,782.78
  4. Step 4: Simplify right side
    4,878.46x = 18,734,788.07
  5. Step 5: Solve for x
    x = 18,734,788.07/4,878.46
  6. Step 6: Final answer
    x = 3,840.31

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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.