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Finding the Fourth Proportional to 5,647.68, 7,790.24 and 3,524.40

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Solution

The fourth proportional to 5,647.68, 7,790.24 and 3,524.40 is: 4,861.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,647.68 : 7,790.24 = 3,524.40 : x
  2. Step 2: Convert to fraction form
    5,647.68/7,790.24 = 3,524.40/x
  3. Step 3: Cross multiply
    5,647.68x = 7,790.24 × 3,524.40
  4. Step 4: Simplify right side
    5,647.68x = 27,455,921.86
  5. Step 5: Solve for x
    x = 27,455,921.86/5,647.68
  6. Step 6: Final answer
    x = 4,861.45

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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.