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Finding the Fourth Proportional to 5,258.30, 7,873.96 and 5,102.58

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Solution

The fourth proportional to 5,258.30, 7,873.96 and 5,102.58 is: 7,640.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,258.30 : 7,873.96 = 5,102.58 : x
  2. Step 2: Convert to fraction form
    5,258.30/7,873.96 = 5,102.58/x
  3. Step 3: Cross multiply
    5,258.30x = 7,873.96 × 5,102.58
  4. Step 4: Simplify right side
    5,258.30x = 40,177,510.82
  5. Step 5: Solve for x
    x = 40,177,510.82/5,258.30
  6. Step 6: Final answer
    x = 7,640.78

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