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Finding the Fourth Proportional to 5,357.86, 8,032.46 and 2,240.26

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Solution

The fourth proportional to 5,357.86, 8,032.46 and 2,240.26 is: 3,358.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,357.86 : 8,032.46 = 2,240.26 : x
  2. Step 2: Convert to fraction form
    5,357.86/8,032.46 = 2,240.26/x
  3. Step 3: Cross multiply
    5,357.86x = 8,032.46 × 2,240.26
  4. Step 4: Simplify right side
    5,357.86x = 17,994,767.56
  5. Step 5: Solve for x
    x = 17,994,767.56/5,357.86
  6. Step 6: Final answer
    x = 3,358.58

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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.