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Finding the Fourth Proportional to 4,158.28, 5,738.43 and 2,295.28

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Solution

The fourth proportional to 4,158.28, 5,738.43 and 2,295.28 is: 3,167.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,158.28 : 5,738.43 = 2,295.28 : x
  2. Step 2: Convert to fraction form
    4,158.28/5,738.43 = 2,295.28/x
  3. Step 3: Cross multiply
    4,158.28x = 5,738.43 × 2,295.28
  4. Step 4: Simplify right side
    4,158.28x = 13,171,303.61
  5. Step 5: Solve for x
    x = 13,171,303.61/4,158.28
  6. Step 6: Final answer
    x = 3,167.49

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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.