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Finding the Fourth Proportional to 3,832.48, 5,749.08 and 1,492.66

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Solution

The fourth proportional to 3,832.48, 5,749.08 and 1,492.66 is: 2,239.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,832.48 : 5,749.08 = 1,492.66 : x
  2. Step 2: Convert to fraction form
    3,832.48/5,749.08 = 1,492.66/x
  3. Step 3: Cross multiply
    3,832.48x = 5,749.08 × 1,492.66
  4. Step 4: Simplify right side
    3,832.48x = 8,581,421.75
  5. Step 5: Solve for x
    x = 8,581,421.75/3,832.48
  6. Step 6: Final answer
    x = 2,239.13

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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.