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Finding the Fourth Proportional to 4,948.06, 6,819.78 and 4,314.64

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Solution

The fourth proportional to 4,948.06, 6,819.78 and 4,314.64 is: 5,946.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,948.06 : 6,819.78 = 4,314.64 : x
  2. Step 2: Convert to fraction form
    4,948.06/6,819.78 = 4,314.64/x
  3. Step 3: Cross multiply
    4,948.06x = 6,819.78 × 4,314.64
  4. Step 4: Simplify right side
    4,948.06x = 29,424,895.58
  5. Step 5: Solve for x
    x = 29,424,895.58/4,948.06
  6. Step 6: Final answer
    x = 5,946.75

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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.