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Finding the Fourth Proportional to 5,427.86, 7,496.60 and 3,656.40

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Solution

The fourth proportional to 5,427.86, 7,496.60 and 3,656.40 is: 5,049.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,427.86 : 7,496.60 = 3,656.40 : x
  2. Step 2: Convert to fraction form
    5,427.86/7,496.60 = 3,656.40/x
  3. Step 3: Cross multiply
    5,427.86x = 7,496.60 × 3,656.40
  4. Step 4: Simplify right side
    5,427.86x = 27,410,568.24
  5. Step 5: Solve for x
    x = 27,410,568.24/5,427.86
  6. Step 6: Final answer
    x = 5,049.98

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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.