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Finding the Fourth Proportional to 5,910.57, 8,862.63 and 2,942.51

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Solution

The fourth proportional to 5,910.57, 8,862.63 and 2,942.51 is: 4,412.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,910.57 : 8,862.63 = 2,942.51 : x
  2. Step 2: Convert to fraction form
    5,910.57/8,862.63 = 2,942.51/x
  3. Step 3: Cross multiply
    5,910.57x = 8,862.63 × 2,942.51
  4. Step 4: Simplify right side
    5,910.57x = 26,078,333.09
  5. Step 5: Solve for x
    x = 26,078,333.09/5,910.57
  6. Step 6: Final answer
    x = 4,412.15

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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.