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Finding the Fourth Proportional to 5,348.24, 7,375.78 and 3,457.84

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Solution

The fourth proportional to 5,348.24, 7,375.78 and 3,457.84 is: 4,768.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,348.24 : 7,375.78 = 3,457.84 : x
  2. Step 2: Convert to fraction form
    5,348.24/7,375.78 = 3,457.84/x
  3. Step 3: Cross multiply
    5,348.24x = 7,375.78 × 3,457.84
  4. Step 4: Simplify right side
    5,348.24x = 25,504,267.12
  5. Step 5: Solve for x
    x = 25,504,267.12/5,348.24
  6. Step 6: Final answer
    x = 4,768.72

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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.