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Finding the Fourth Proportional to 6,241.92, 8,616 and 3,886.08

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Solution

The fourth proportional to 6,241.92, 8,616 and 3,886.08 is: 5,364.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,241.92 : 8,616 = 3,886.08 : x
  2. Step 2: Convert to fraction form
    6,241.92/8,616 = 3,886.08/x
  3. Step 3: Cross multiply
    6,241.92x = 8,616 × 3,886.08
  4. Step 4: Simplify right side
    6,241.92x = 33,482,465.28
  5. Step 5: Solve for x
    x = 33,482,465.28/6,241.92
  6. Step 6: Final answer
    x = 5,364.13

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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.