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Finding the Fourth Proportional to 4,981.34, 7,475.84 and 1,863.66

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Solution

The fourth proportional to 4,981.34, 7,475.84 and 1,863.66 is: 2,796.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,981.34 : 7,475.84 = 1,863.66 : x
  2. Step 2: Convert to fraction form
    4,981.34/7,475.84 = 1,863.66/x
  3. Step 3: Cross multiply
    4,981.34x = 7,475.84 × 1,863.66
  4. Step 4: Simplify right side
    4,981.34x = 13,932,423.97
  5. Step 5: Solve for x
    x = 13,932,423.97/4,981.34
  6. Step 6: Final answer
    x = 2,796.92

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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.