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Finding the Fourth Proportional to 3,492.20, 5,239.58 and 1,761

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Solution

The fourth proportional to 3,492.20, 5,239.58 and 1,761 is: 2,642.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,492.20 : 5,239.58 = 1,761 : x
  2. Step 2: Convert to fraction form
    3,492.20/5,239.58 = 1,761/x
  3. Step 3: Cross multiply
    3,492.20x = 5,239.58 × 1,761
  4. Step 4: Simplify right side
    3,492.20x = 9,226,900.38
  5. Step 5: Solve for x
    x = 9,226,900.38/3,492.20
  6. Step 6: Final answer
    x = 2,642.15

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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.