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Finding the Fourth Proportional to 3,979.84, 5,963.68 and 1,670.08

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Solution

The fourth proportional to 3,979.84, 5,963.68 and 1,670.08 is: 2,502.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,979.84 : 5,963.68 = 1,670.08 : x
  2. Step 2: Convert to fraction form
    3,979.84/5,963.68 = 1,670.08/x
  3. Step 3: Cross multiply
    3,979.84x = 5,963.68 × 1,670.08
  4. Step 4: Simplify right side
    3,979.84x = 9,959,822.69
  5. Step 5: Solve for x
    x = 9,959,822.69/3,979.84
  6. Step 6: Final answer
    x = 2,502.57

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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.