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Finding the Fourth Proportional to 3,499.42, 4,829.25 and 1,906.12

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Solution

The fourth proportional to 3,499.42, 4,829.25 and 1,906.12 is: 2,630.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,499.42 : 4,829.25 = 1,906.12 : x
  2. Step 2: Convert to fraction form
    3,499.42/4,829.25 = 1,906.12/x
  3. Step 3: Cross multiply
    3,499.42x = 4,829.25 × 1,906.12
  4. Step 4: Simplify right side
    3,499.42x = 9,205,130.01
  5. Step 5: Solve for x
    x = 9,205,130.01/3,499.42
  6. Step 6: Final answer
    x = 2,630.47

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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.