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Finding the Fourth Proportional to 3,967.84, 5,951.70 and 965.89

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Solution

The fourth proportional to 3,967.84, 5,951.70 and 965.89 is: 1,448.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,967.84 : 5,951.70 = 965.89 : x
  2. Step 2: Convert to fraction form
    3,967.84/5,951.70 = 965.89/x
  3. Step 3: Cross multiply
    3,967.84x = 5,951.70 × 965.89
  4. Step 4: Simplify right side
    3,967.84x = 5,748,661.47
  5. Step 5: Solve for x
    x = 5,748,661.47/3,967.84
  6. Step 6: Final answer
    x = 1,448.82

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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.