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Finding the Fourth Proportional to 5,046.46, 7,560.27 and 3,656.40

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Solution

The fourth proportional to 5,046.46, 7,560.27 and 3,656.40 is: 5,477.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,046.46 : 7,560.27 = 3,656.40 : x
  2. Step 2: Convert to fraction form
    5,046.46/7,560.27 = 3,656.40/x
  3. Step 3: Cross multiply
    5,046.46x = 7,560.27 × 3,656.40
  4. Step 4: Simplify right side
    5,046.46x = 27,643,380.37
  5. Step 5: Solve for x
    x = 27,643,380.37/5,046.46
  6. Step 6: Final answer
    x = 5,477.78

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.