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Finding the Fourth Proportional to 3,492.59, 5,240.70 and 3,290.90

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Solution

The fourth proportional to 3,492.59, 5,240.70 and 3,290.90 is: 4,938.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,492.59 : 5,240.70 = 3,290.90 : x
  2. Step 2: Convert to fraction form
    3,492.59/5,240.70 = 3,290.90/x
  3. Step 3: Cross multiply
    3,492.59x = 5,240.70 × 3,290.90
  4. Step 4: Simplify right side
    3,492.59x = 17,246,593.43
  5. Step 5: Solve for x
    x = 17,246,593.43/3,492.59
  6. Step 6: Final answer
    x = 4,938.06

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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.