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Finding the Fourth Proportional to 3,008.49, 4,490.42 and 2,823.81

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Solution

The fourth proportional to 3,008.49, 4,490.42 and 2,823.81 is: 4,214.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,008.49 : 4,490.42 = 2,823.81 : x
  2. Step 2: Convert to fraction form
    3,008.49/4,490.42 = 2,823.81/x
  3. Step 3: Cross multiply
    3,008.49x = 4,490.42 × 2,823.81
  4. Step 4: Simplify right side
    3,008.49x = 12,680,078.78
  5. Step 5: Solve for x
    x = 12,680,078.78/3,008.49
  6. Step 6: Final answer
    x = 4,214.77

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.