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Finding the Fourth Proportional to 4,569.84, 6,306.38 and 2,473.96

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Solution

The fourth proportional to 4,569.84, 6,306.38 and 2,473.96 is: 3,414.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,569.84 : 6,306.38 = 2,473.96 : x
  2. Step 2: Convert to fraction form
    4,569.84/6,306.38 = 2,473.96/x
  3. Step 3: Cross multiply
    4,569.84x = 6,306.38 × 2,473.96
  4. Step 4: Simplify right side
    4,569.84x = 15,601,731.86
  5. Step 5: Solve for x
    x = 15,601,731.86/4,569.84
  6. Step 6: Final answer
    x = 3,414.07

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.