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Finding the Fourth Proportional to 3,832.34, 5,748.46 and 1,058.99

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Solution

The fourth proportional to 3,832.34, 5,748.46 and 1,058.99 is: 1,588.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,832.34 : 5,748.46 = 1,058.99 : x
  2. Step 2: Convert to fraction form
    3,832.34/5,748.46 = 1,058.99/x
  3. Step 3: Cross multiply
    3,832.34x = 5,748.46 × 1,058.99
  4. Step 4: Simplify right side
    3,832.34x = 6,087,530.27
  5. Step 5: Solve for x
    x = 6,087,530.27/3,832.34
  6. Step 6: Final answer
    x = 1,588.47

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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.