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Finding the Fourth Proportional to 4,853.68, 6,695.40 and 2,864

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Solution

The fourth proportional to 4,853.68, 6,695.40 and 2,864 is: 3,950.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,853.68 : 6,695.40 = 2,864 : x
  2. Step 2: Convert to fraction form
    4,853.68/6,695.40 = 2,864/x
  3. Step 3: Cross multiply
    4,853.68x = 6,695.40 × 2,864
  4. Step 4: Simplify right side
    4,853.68x = 19,175,625.60
  5. Step 5: Solve for x
    x = 19,175,625.60/4,853.68
  6. Step 6: Final answer
    x = 3,950.74

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.