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Finding the Fourth Proportional to 4,202.08, 5,799 and 2,313.72

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Solution

The fourth proportional to 4,202.08, 5,799 and 2,313.72 is: 3,193.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,202.08 : 5,799 = 2,313.72 : x
  2. Step 2: Convert to fraction form
    4,202.08/5,799 = 2,313.72/x
  3. Step 3: Cross multiply
    4,202.08x = 5,799 × 2,313.72
  4. Step 4: Simplify right side
    4,202.08x = 13,417,262.28
  5. Step 5: Solve for x
    x = 13,417,262.28/4,202.08
  6. Step 6: Final answer
    x = 3,193.00

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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.