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Finding the Fourth Proportional to 4,948.62, 7,411.98 and 2,018.04

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Solution

The fourth proportional to 4,948.62, 7,411.98 and 2,018.04 is: 3,022.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,948.62 : 7,411.98 = 2,018.04 : x
  2. Step 2: Convert to fraction form
    4,948.62/7,411.98 = 2,018.04/x
  3. Step 3: Cross multiply
    4,948.62x = 7,411.98 × 2,018.04
  4. Step 4: Simplify right side
    4,948.62x = 14,957,672.12
  5. Step 5: Solve for x
    x = 14,957,672.12/4,948.62
  6. Step 6: Final answer
    x = 3,022.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.