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Finding the Fourth Proportional to 3,492.45, 5,239.46 and 1,027.29

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Solution

The fourth proportional to 3,492.45, 5,239.46 and 1,027.29 is: 1,541.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,492.45 : 5,239.46 = 1,027.29 : x
  2. Step 2: Convert to fraction form
    3,492.45/5,239.46 = 1,027.29/x
  3. Step 3: Cross multiply
    3,492.45x = 5,239.46 × 1,027.29
  4. Step 4: Simplify right side
    3,492.45x = 5,382,444.86
  5. Step 5: Solve for x
    x = 5,382,444.86/3,492.45
  6. Step 6: Final answer
    x = 1,541.17

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.