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Finding the Fourth Proportional to 4,833.90, 7,249.62 and 2,059.14

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Solution

The fourth proportional to 4,833.90, 7,249.62 and 2,059.14 is: 3,088.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,833.90 : 7,249.62 = 2,059.14 : x
  2. Step 2: Convert to fraction form
    4,833.90/7,249.62 = 2,059.14/x
  3. Step 3: Cross multiply
    4,833.90x = 7,249.62 × 2,059.14
  4. Step 4: Simplify right side
    4,833.90x = 14,927,982.53
  5. Step 5: Solve for x
    x = 14,927,982.53/4,833.90
  6. Step 6: Final answer
    x = 3,088.19

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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.