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Finding the Fourth Proportional to 4,249, 5,863.62 and 2,386

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Solution

The fourth proportional to 4,249, 5,863.62 and 2,386 is: 3,292.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,249 : 5,863.62 = 2,386 : x
  2. Step 2: Convert to fraction form
    4,249/5,863.62 = 2,386/x
  3. Step 3: Cross multiply
    4,249x = 5,863.62 × 2,386
  4. Step 4: Simplify right side
    4,249x = 13,990,597.32
  5. Step 5: Solve for x
    x = 13,990,597.32/4,249
  6. Step 6: Final answer
    x = 3,292.68

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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.