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Finding the Fourth Proportional to 4,058, 5,600.84 and 2,289.64

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Solution

The fourth proportional to 4,058, 5,600.84 and 2,289.64 is: 3,160.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,058 : 5,600.84 = 2,289.64 : x
  2. Step 2: Convert to fraction form
    4,058/5,600.84 = 2,289.64/x
  3. Step 3: Cross multiply
    4,058x = 5,600.84 × 2,289.64
  4. Step 4: Simplify right side
    4,058x = 12,823,907.30
  5. Step 5: Solve for x
    x = 12,823,907.30/4,058
  6. Step 6: Final answer
    x = 3,160.15

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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.