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Finding the Fourth Proportional to 3,492.84, 5,238.66 and 1,027.60

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Solution

The fourth proportional to 3,492.84, 5,238.66 and 1,027.60 is: 1,541.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,492.84 : 5,238.66 = 1,027.60 : x
  2. Step 2: Convert to fraction form
    3,492.84/5,238.66 = 1,027.60/x
  3. Step 3: Cross multiply
    3,492.84x = 5,238.66 × 1,027.60
  4. Step 4: Simplify right side
    3,492.84x = 5,383,247.02
  5. Step 5: Solve for x
    x = 5,383,247.02/3,492.84
  6. Step 6: Final answer
    x = 1,541.22

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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.