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Finding the Fourth Proportional to 3,898.88, 5,850.43 and 2,258.63

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Solution

The fourth proportional to 3,898.88, 5,850.43 and 2,258.63 is: 3,389.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,898.88 : 5,850.43 = 2,258.63 : x
  2. Step 2: Convert to fraction form
    3,898.88/5,850.43 = 2,258.63/x
  3. Step 3: Cross multiply
    3,898.88x = 5,850.43 × 2,258.63
  4. Step 4: Simplify right side
    3,898.88x = 13,213,956.71
  5. Step 5: Solve for x
    x = 13,213,956.71/3,898.88
  6. Step 6: Final answer
    x = 3,389.17

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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.