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Finding the Fourth Proportional to 4,157.54, 5,738.39 and 2,390.17

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Solution

The fourth proportional to 4,157.54, 5,738.39 and 2,390.17 is: 3,299.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,157.54 : 5,738.39 = 2,390.17 : x
  2. Step 2: Convert to fraction form
    4,157.54/5,738.39 = 2,390.17/x
  3. Step 3: Cross multiply
    4,157.54x = 5,738.39 × 2,390.17
  4. Step 4: Simplify right side
    4,157.54x = 13,715,715.68
  5. Step 5: Solve for x
    x = 13,715,715.68/4,157.54
  6. Step 6: Final answer
    x = 3,299.00

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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.