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Finding the Fourth Proportional to 3,518.16, 4,846.82 and 2,454

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Solution

The fourth proportional to 3,518.16, 4,846.82 and 2,454 is: 3,380.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,518.16 : 4,846.82 = 2,454 : x
  2. Step 2: Convert to fraction form
    3,518.16/4,846.82 = 2,454/x
  3. Step 3: Cross multiply
    3,518.16x = 4,846.82 × 2,454
  4. Step 4: Simplify right side
    3,518.16x = 11,894,096.28
  5. Step 5: Solve for x
    x = 11,894,096.28/3,518.16
  6. Step 6: Final answer
    x = 3,380.77

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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.