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Finding the Fourth Proportional to 4,218.57, 5,821.62 and 2,355.57

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Solution

The fourth proportional to 4,218.57, 5,821.62 and 2,355.57 is: 3,250.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,218.57 : 5,821.62 = 2,355.57 : x
  2. Step 2: Convert to fraction form
    4,218.57/5,821.62 = 2,355.57/x
  3. Step 3: Cross multiply
    4,218.57x = 5,821.62 × 2,355.57
  4. Step 4: Simplify right side
    4,218.57x = 13,713,233.42
  5. Step 5: Solve for x
    x = 13,713,233.42/4,218.57
  6. Step 6: Final answer
    x = 3,250.68

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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.