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Finding the Fourth Proportional to 4,513.86, 6,230.70 and 3,102.22

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Solution

The fourth proportional to 4,513.86, 6,230.70 and 3,102.22 is: 4,282.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,513.86 : 6,230.70 = 3,102.22 : x
  2. Step 2: Convert to fraction form
    4,513.86/6,230.70 = 3,102.22/x
  3. Step 3: Cross multiply
    4,513.86x = 6,230.70 × 3,102.22
  4. Step 4: Simplify right side
    4,513.86x = 19,328,998.31
  5. Step 5: Solve for x
    x = 19,328,998.31/4,513.86
  6. Step 6: Final answer
    x = 4,282.14

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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.