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Finding the Fourth Proportional to 3,492.55, 5,238.66 and 1,027.45

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Solution

The fourth proportional to 3,492.55, 5,238.66 and 1,027.45 is: 1,541.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,492.55 : 5,238.66 = 1,027.45 : x
  2. Step 2: Convert to fraction form
    3,492.55/5,238.66 = 1,027.45/x
  3. Step 3: Cross multiply
    3,492.55x = 5,238.66 × 1,027.45
  4. Step 4: Simplify right side
    3,492.55x = 5,382,435.02
  5. Step 5: Solve for x
    x = 5,382,435.02/3,492.55
  6. Step 6: Final answer
    x = 1,541.12

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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.