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Finding the Fourth Proportional to 3,578.22, 5,368.32 and 1,499.22

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Solution

The fourth proportional to 3,578.22, 5,368.32 and 1,499.22 is: 2,249.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,578.22 : 5,368.32 = 1,499.22 : x
  2. Step 2: Convert to fraction form
    3,578.22/5,368.32 = 1,499.22/x
  3. Step 3: Cross multiply
    3,578.22x = 5,368.32 × 1,499.22
  4. Step 4: Simplify right side
    3,578.22x = 8,048,292.71
  5. Step 5: Solve for x
    x = 8,048,292.71/3,578.22
  6. Step 6: Final answer
    x = 2,249.24

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.