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Finding the Fourth Proportional to 3,492.52, 4,819.68 and 1,899.14

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Solution

The fourth proportional to 3,492.52, 4,819.68 and 1,899.14 is: 2,620.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,492.52 : 4,819.68 = 1,899.14 : x
  2. Step 2: Convert to fraction form
    3,492.52/4,819.68 = 1,899.14/x
  3. Step 3: Cross multiply
    3,492.52x = 4,819.68 × 1,899.14
  4. Step 4: Simplify right side
    3,492.52x = 9,153,247.08
  5. Step 5: Solve for x
    x = 9,153,247.08/3,492.52
  6. Step 6: Final answer
    x = 2,620.81

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.