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Finding the Fourth Proportional to 5,258.66, 7,889.82 and 2,339.02

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Solution

The fourth proportional to 5,258.66, 7,889.82 and 2,339.02 is: 3,509.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,258.66 : 7,889.82 = 2,339.02 : x
  2. Step 2: Convert to fraction form
    5,258.66/7,889.82 = 2,339.02/x
  3. Step 3: Cross multiply
    5,258.66x = 7,889.82 × 2,339.02
  4. Step 4: Simplify right side
    5,258.66x = 18,454,446.78
  5. Step 5: Solve for x
    x = 18,454,446.78/5,258.66
  6. Step 6: Final answer
    x = 3,509.34

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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.