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Finding the Fourth Proportional to 4,616.49, 6,377.70 and 3,026.91

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Solution

The fourth proportional to 4,616.49, 6,377.70 and 3,026.91 is: 4,181.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,616.49 : 6,377.70 = 3,026.91 : x
  2. Step 2: Convert to fraction form
    4,616.49/6,377.70 = 3,026.91/x
  3. Step 3: Cross multiply
    4,616.49x = 6,377.70 × 3,026.91
  4. Step 4: Simplify right side
    4,616.49x = 19,304,723.91
  5. Step 5: Solve for x
    x = 19,304,723.91/4,616.49
  6. Step 6: Final answer
    x = 4,181.69

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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.