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Finding the Fourth Proportional to 5,237.86, 7,221.54 and 4,290.16

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Solution

The fourth proportional to 5,237.86, 7,221.54 and 4,290.16 is: 5,914.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,237.86 : 7,221.54 = 4,290.16 : x
  2. Step 2: Convert to fraction form
    5,237.86/7,221.54 = 4,290.16/x
  3. Step 3: Cross multiply
    5,237.86x = 7,221.54 × 4,290.16
  4. Step 4: Simplify right side
    5,237.86x = 30,981,562.05
  5. Step 5: Solve for x
    x = 30,981,562.05/5,237.86
  6. Step 6: Final answer
    x = 5,914.93

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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.