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Finding the Fourth Proportional to 3,492.48, 5,240.52 and 1,546.05

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Solution

The fourth proportional to 3,492.48, 5,240.52 and 1,546.05 is: 2,319.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,492.48 : 5,240.52 = 1,546.05 : x
  2. Step 2: Convert to fraction form
    3,492.48/5,240.52 = 1,546.05/x
  3. Step 3: Cross multiply
    3,492.48x = 5,240.52 × 1,546.05
  4. Step 4: Simplify right side
    3,492.48x = 8,102,105.95
  5. Step 5: Solve for x
    x = 8,102,105.95/3,492.48
  6. Step 6: Final answer
    x = 2,319.87

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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.