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Finding the Fourth Proportional to 5,346.47, 8,019.07 and 2,057.26

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Solution

The fourth proportional to 5,346.47, 8,019.07 and 2,057.26 is: 3,085.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,346.47 : 8,019.07 = 2,057.26 : x
  2. Step 2: Convert to fraction form
    5,346.47/8,019.07 = 2,057.26/x
  3. Step 3: Cross multiply
    5,346.47x = 8,019.07 × 2,057.26
  4. Step 4: Simplify right side
    5,346.47x = 16,497,294.47
  5. Step 5: Solve for x
    x = 16,497,294.47/5,346.47
  6. Step 6: Final answer
    x = 3,085.65

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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.