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Finding the Fourth Proportional to 5,258.58, 7,870.69 and 3,871.35

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Solution

The fourth proportional to 5,258.58, 7,870.69 and 3,871.35 is: 5,794.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,258.58 : 7,870.69 = 3,871.35 : x
  2. Step 2: Convert to fraction form
    5,258.58/7,870.69 = 3,871.35/x
  3. Step 3: Cross multiply
    5,258.58x = 7,870.69 × 3,871.35
  4. Step 4: Simplify right side
    5,258.58x = 30,470,195.73
  5. Step 5: Solve for x
    x = 30,470,195.73/5,258.58
  6. Step 6: Final answer
    x = 5,794.38

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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.