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Finding the Fourth Proportional to 3,492.96, 5,240.21 and 1,027.79

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Solution

The fourth proportional to 3,492.96, 5,240.21 and 1,027.79 is: 1,541.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,492.96 : 5,240.21 = 1,027.79 : x
  2. Step 2: Convert to fraction form
    3,492.96/5,240.21 = 1,027.79/x
  3. Step 3: Cross multiply
    3,492.96x = 5,240.21 × 1,027.79
  4. Step 4: Simplify right side
    3,492.96x = 5,385,804.10
  5. Step 5: Solve for x
    x = 5,385,804.10/3,492.96
  6. Step 6: Final answer
    x = 1,541.90

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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.