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Finding the Fourth Proportional to 5,468.63, 7,546.70 and 3,373.97

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Solution

The fourth proportional to 5,468.63, 7,546.70 and 3,373.97 is: 4,656.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,468.63 : 7,546.70 = 3,373.97 : x
  2. Step 2: Convert to fraction form
    5,468.63/7,546.70 = 3,373.97/x
  3. Step 3: Cross multiply
    5,468.63x = 7,546.70 × 3,373.97
  4. Step 4: Simplify right side
    5,468.63x = 25,462,310.10
  5. Step 5: Solve for x
    x = 25,462,310.10/5,468.63
  6. Step 6: Final answer
    x = 4,656.07

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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.