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Finding the Fourth Proportional to 6,281, 8,667.78 and 3,486.52

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Solution

The fourth proportional to 6,281, 8,667.78 and 3,486.52 is: 4,811.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,281 : 8,667.78 = 3,486.52 : x
  2. Step 2: Convert to fraction form
    6,281/8,667.78 = 3,486.52/x
  3. Step 3: Cross multiply
    6,281x = 8,667.78 × 3,486.52
  4. Step 4: Simplify right side
    6,281x = 30,220,388.33
  5. Step 5: Solve for x
    x = 30,220,388.33/6,281
  6. Step 6: Final answer
    x = 4,811.40

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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.