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Finding the Fourth Proportional to 4,956.95, 7,435.08 and 1,446.82

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Solution

The fourth proportional to 4,956.95, 7,435.08 and 1,446.82 is: 2,170.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,956.95 : 7,435.08 = 1,446.82 : x
  2. Step 2: Convert to fraction form
    4,956.95/7,435.08 = 1,446.82/x
  3. Step 3: Cross multiply
    4,956.95x = 7,435.08 × 1,446.82
  4. Step 4: Simplify right side
    4,956.95x = 10,757,203.86
  5. Step 5: Solve for x
    x = 10,757,203.86/4,956.95
  6. Step 6: Final answer
    x = 2,170.12

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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.