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Finding the Fourth Proportional to 4,800.24, 7,202.76 and 3,258

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Solution

The fourth proportional to 4,800.24, 7,202.76 and 3,258 is: 4,888.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,800.24 : 7,202.76 = 3,258 : x
  2. Step 2: Convert to fraction form
    4,800.24/7,202.76 = 3,258/x
  3. Step 3: Cross multiply
    4,800.24x = 7,202.76 × 3,258
  4. Step 4: Simplify right side
    4,800.24x = 23,466,592.08
  5. Step 5: Solve for x
    x = 23,466,592.08/4,800.24
  6. Step 6: Final answer
    x = 4,888.63

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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.