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Finding the Fourth Proportional to 4,846.70, 6,689.52 and 3,077.97

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Solution

The fourth proportional to 4,846.70, 6,689.52 and 3,077.97 is: 4,248.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,846.70 : 6,689.52 = 3,077.97 : x
  2. Step 2: Convert to fraction form
    4,846.70/6,689.52 = 3,077.97/x
  3. Step 3: Cross multiply
    4,846.70x = 6,689.52 × 3,077.97
  4. Step 4: Simplify right side
    4,846.70x = 20,590,141.87
  5. Step 5: Solve for x
    x = 20,590,141.87/4,846.70
  6. Step 6: Final answer
    x = 4,248.28

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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.