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Finding the Fourth Proportional to 3,832.11, 5,748.64 and 1,058.94

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Solution

The fourth proportional to 3,832.11, 5,748.64 and 1,058.94 is: 1,588.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,832.11 : 5,748.64 = 1,058.94 : x
  2. Step 2: Convert to fraction form
    3,832.11/5,748.64 = 1,058.94/x
  3. Step 3: Cross multiply
    3,832.11x = 5,748.64 × 1,058.94
  4. Step 4: Simplify right side
    3,832.11x = 6,087,462.19
  5. Step 5: Solve for x
    x = 6,087,462.19/3,832.11
  6. Step 6: Final answer
    x = 1,588.54

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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.