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Finding the Fourth Proportional to 5,258.72, 7,882.74 and 3,411.01

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Solution

The fourth proportional to 5,258.72, 7,882.74 and 3,411.01 is: 5,113.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,258.72 : 7,882.74 = 3,411.01 : x
  2. Step 2: Convert to fraction form
    5,258.72/7,882.74 = 3,411.01/x
  3. Step 3: Cross multiply
    5,258.72x = 7,882.74 × 3,411.01
  4. Step 4: Simplify right side
    5,258.72x = 26,888,104.97
  5. Step 5: Solve for x
    x = 26,888,104.97/5,258.72
  6. Step 6: Final answer
    x = 5,113.05

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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.