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Finding the Fourth Proportional to 3,715.54, 5,128.19 and 2,224.33

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Solution

The fourth proportional to 3,715.54, 5,128.19 and 2,224.33 is: 3,070.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,715.54 : 5,128.19 = 2,224.33 : x
  2. Step 2: Convert to fraction form
    3,715.54/5,128.19 = 2,224.33/x
  3. Step 3: Cross multiply
    3,715.54x = 5,128.19 × 2,224.33
  4. Step 4: Simplify right side
    3,715.54x = 11,406,786.86
  5. Step 5: Solve for x
    x = 11,406,786.86/3,715.54
  6. Step 6: Final answer
    x = 3,070.02

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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.