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Finding the Fourth Proportional to 4,856.50, 6,701.97 and 2,648.50

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Solution

The fourth proportional to 4,856.50, 6,701.97 and 2,648.50 is: 3,654.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,856.50 : 6,701.97 = 2,648.50 : x
  2. Step 2: Convert to fraction form
    4,856.50/6,701.97 = 2,648.50/x
  3. Step 3: Cross multiply
    4,856.50x = 6,701.97 × 2,648.50
  4. Step 4: Simplify right side
    4,856.50x = 17,750,167.55
  5. Step 5: Solve for x
    x = 17,750,167.55/4,856.50
  6. Step 6: Final answer
    x = 3,654.93

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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.