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Finding the Fourth Proportional to 5,468.64, 7,546.56 and 3,111.12

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Solution

The fourth proportional to 5,468.64, 7,546.56 and 3,111.12 is: 4,293.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,468.64 : 7,546.56 = 3,111.12 : x
  2. Step 2: Convert to fraction form
    5,468.64/7,546.56 = 3,111.12/x
  3. Step 3: Cross multiply
    5,468.64x = 7,546.56 × 3,111.12
  4. Step 4: Simplify right side
    5,468.64x = 23,478,253.75
  5. Step 5: Solve for x
    x = 23,478,253.75/5,468.64
  6. Step 6: Final answer
    x = 4,293.25

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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.