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Finding the Fourth Proportional to 4,856.82, 7,280.91 and 2,258.34

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Solution

The fourth proportional to 4,856.82, 7,280.91 and 2,258.34 is: 3,385.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,856.82 : 7,280.91 = 2,258.34 : x
  2. Step 2: Convert to fraction form
    4,856.82/7,280.91 = 2,258.34/x
  3. Step 3: Cross multiply
    4,856.82x = 7,280.91 × 2,258.34
  4. Step 4: Simplify right side
    4,856.82x = 16,442,770.29
  5. Step 5: Solve for x
    x = 16,442,770.29/4,856.82
  6. Step 6: Final answer
    x = 3,385.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.