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Finding the Fourth Proportional to 4,058, 5,600.05 and 2,195

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Solution

The fourth proportional to 4,058, 5,600.05 and 2,195 is: 3,029.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,058 : 5,600.05 = 2,195 : x
  2. Step 2: Convert to fraction form
    4,058/5,600.05 = 2,195/x
  3. Step 3: Cross multiply
    4,058x = 5,600.05 × 2,195
  4. Step 4: Simplify right side
    4,058x = 12,292,098.78
  5. Step 5: Solve for x
    x = 12,292,098.78/4,058
  6. Step 6: Final answer
    x = 3,029.10

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.