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Finding the Fourth Proportional to 5,894.31, 8,844.50 and 2,609.71

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Solution

The fourth proportional to 5,894.31, 8,844.50 and 2,609.71 is: 3,915.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,894.31 : 8,844.50 = 2,609.71 : x
  2. Step 2: Convert to fraction form
    5,894.31/8,844.50 = 2,609.71/x
  3. Step 3: Cross multiply
    5,894.31x = 8,844.50 × 2,609.71
  4. Step 4: Simplify right side
    5,894.31x = 23,081,564.51
  5. Step 5: Solve for x
    x = 23,081,564.51/5,894.31
  6. Step 6: Final answer
    x = 3,915.91

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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.