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Finding the Fourth Proportional to 4,848.81, 6,680.68 and 4,049.16

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Solution

The fourth proportional to 4,848.81, 6,680.68 and 4,049.16 is: 5,578.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,848.81 : 6,680.68 = 4,049.16 : x
  2. Step 2: Convert to fraction form
    4,848.81/6,680.68 = 4,049.16/x
  3. Step 3: Cross multiply
    4,848.81x = 6,680.68 × 4,049.16
  4. Step 4: Simplify right side
    4,848.81x = 27,051,142.23
  5. Step 5: Solve for x
    x = 27,051,142.23/4,848.81
  6. Step 6: Final answer
    x = 5,578.92

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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.