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Finding the Fourth Proportional to 5,807.43, 8,705.19 and 2,296.02

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Solution

The fourth proportional to 5,807.43, 8,705.19 and 2,296.02 is: 3,441.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,807.43 : 8,705.19 = 2,296.02 : x
  2. Step 2: Convert to fraction form
    5,807.43/8,705.19 = 2,296.02/x
  3. Step 3: Cross multiply
    5,807.43x = 8,705.19 × 2,296.02
  4. Step 4: Simplify right side
    5,807.43x = 19,987,290.34
  5. Step 5: Solve for x
    x = 19,987,290.34/5,807.43
  6. Step 6: Final answer
    x = 3,441.68

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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.