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Finding the Fourth Proportional to 3,492.77, 5,239.24 and 1,027.67

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Solution

The fourth proportional to 3,492.77, 5,239.24 and 1,027.67 is: 1,541.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,492.77 : 5,239.24 = 1,027.67 : x
  2. Step 2: Convert to fraction form
    3,492.77/5,239.24 = 1,027.67/x
  3. Step 3: Cross multiply
    3,492.77x = 5,239.24 × 1,027.67
  4. Step 4: Simplify right side
    3,492.77x = 5,384,181.01
  5. Step 5: Solve for x
    x = 5,384,181.01/3,492.77
  6. Step 6: Final answer
    x = 1,541.52

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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.