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Finding the Fourth Proportional to 4,201.87, 5,798.72 and 2,313.65

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Solution

The fourth proportional to 4,201.87, 5,798.72 and 2,313.65 is: 3,192.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,201.87 : 5,798.72 = 2,313.65 : x
  2. Step 2: Convert to fraction form
    4,201.87/5,798.72 = 2,313.65/x
  3. Step 3: Cross multiply
    4,201.87x = 5,798.72 × 2,313.65
  4. Step 4: Simplify right side
    4,201.87x = 13,416,167.97
  5. Step 5: Solve for x
    x = 13,416,167.97/4,201.87
  6. Step 6: Final answer
    x = 3,192.91

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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.