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Finding the Fourth Proportional to 4,208.67, 5,807.96 and 2,441.30

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Solution

The fourth proportional to 4,208.67, 5,807.96 and 2,441.30 is: 3,368.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,208.67 : 5,807.96 = 2,441.30 : x
  2. Step 2: Convert to fraction form
    4,208.67/5,807.96 = 2,441.30/x
  3. Step 3: Cross multiply
    4,208.67x = 5,807.96 × 2,441.30
  4. Step 4: Simplify right side
    4,208.67x = 14,178,972.75
  5. Step 5: Solve for x
    x = 14,178,972.75/4,208.67
  6. Step 6: Final answer
    x = 3,368.99

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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.