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Finding the Fourth Proportional to 3,492.52, 5,238.01 and 1,027.51

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Solution

The fourth proportional to 3,492.52, 5,238.01 and 1,027.51 is: 1,541.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,492.52 : 5,238.01 = 1,027.51 : x
  2. Step 2: Convert to fraction form
    3,492.52/5,238.01 = 1,027.51/x
  3. Step 3: Cross multiply
    3,492.52x = 5,238.01 × 1,027.51
  4. Step 4: Simplify right side
    3,492.52x = 5,382,107.66
  5. Step 5: Solve for x
    x = 5,382,107.66/3,492.52
  6. Step 6: Final answer
    x = 1,541.04

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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.