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Finding the Fourth Proportional to 4,956.68, 7,435.49 and 1,670.78

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Solution

The fourth proportional to 4,956.68, 7,435.49 and 1,670.78 is: 2,506.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,956.68 : 7,435.49 = 1,670.78 : x
  2. Step 2: Convert to fraction form
    4,956.68/7,435.49 = 1,670.78/x
  3. Step 3: Cross multiply
    4,956.68x = 7,435.49 × 1,670.78
  4. Step 4: Simplify right side
    4,956.68x = 12,423,022.45
  5. Step 5: Solve for x
    x = 12,423,022.45/4,956.68
  6. Step 6: Final answer
    x = 2,506.32

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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.