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Finding the Fourth Proportional to 4,959.16, 6,842.28 and 3,069.84

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Solution

The fourth proportional to 4,959.16, 6,842.28 and 3,069.84 is: 4,235.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,959.16 : 6,842.28 = 3,069.84 : x
  2. Step 2: Convert to fraction form
    4,959.16/6,842.28 = 3,069.84/x
  3. Step 3: Cross multiply
    4,959.16x = 6,842.28 × 3,069.84
  4. Step 4: Simplify right side
    4,959.16x = 21,004,704.84
  5. Step 5: Solve for x
    x = 21,004,704.84/4,959.16
  6. Step 6: Final answer
    x = 4,235.54

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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.