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Finding the Fourth Proportional to 4,218.08, 5,822.58 and 3,775.21

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Solution

The fourth proportional to 4,218.08, 5,822.58 and 3,775.21 is: 5,211.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,218.08 : 5,822.58 = 3,775.21 : x
  2. Step 2: Convert to fraction form
    4,218.08/5,822.58 = 3,775.21/x
  3. Step 3: Cross multiply
    4,218.08x = 5,822.58 × 3,775.21
  4. Step 4: Simplify right side
    4,218.08x = 21,981,461.84
  5. Step 5: Solve for x
    x = 21,981,461.84/4,218.08
  6. Step 6: Final answer
    x = 5,211.25

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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.