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Finding the Fourth Proportional to 3,063.57, 4,229 and 2,317.77

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Solution

The fourth proportional to 3,063.57, 4,229 and 2,317.77 is: 3,199.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,063.57 : 4,229 = 2,317.77 : x
  2. Step 2: Convert to fraction form
    3,063.57/4,229 = 2,317.77/x
  3. Step 3: Cross multiply
    3,063.57x = 4,229 × 2,317.77
  4. Step 4: Simplify right side
    3,063.57x = 9,801,849.33
  5. Step 5: Solve for x
    x = 9,801,849.33/3,063.57
  6. Step 6: Final answer
    x = 3,199.49

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.