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Finding the Fourth Proportional to 4,243.80, 5,856.12 and 2,355.15

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Solution

The fourth proportional to 4,243.80, 5,856.12 and 2,355.15 is: 3,249.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,243.80 : 5,856.12 = 2,355.15 : x
  2. Step 2: Convert to fraction form
    4,243.80/5,856.12 = 2,355.15/x
  3. Step 3: Cross multiply
    4,243.80x = 5,856.12 × 2,355.15
  4. Step 4: Simplify right side
    4,243.80x = 13,792,041.02
  5. Step 5: Solve for x
    x = 13,792,041.02/4,243.80
  6. Step 6: Final answer
    x = 3,249.93

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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.