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Finding the Fourth Proportional to 5,258.76, 7,873.77 and 5,119.34

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Solution

The fourth proportional to 5,258.76, 7,873.77 and 5,119.34 is: 7,665.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,258.76 : 7,873.77 = 5,119.34 : x
  2. Step 2: Convert to fraction form
    5,258.76/7,873.77 = 5,119.34/x
  3. Step 3: Cross multiply
    5,258.76x = 7,873.77 × 5,119.34
  4. Step 4: Simplify right side
    5,258.76x = 40,308,505.71
  5. Step 5: Solve for x
    x = 40,308,505.71/5,258.76
  6. Step 6: Final answer
    x = 7,665.02

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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.