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Finding the Fourth Proportional to 5,657.60, 7,806.24 and 3,560.96

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Solution

The fourth proportional to 5,657.60, 7,806.24 and 3,560.96 is: 4,913.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,657.60 : 7,806.24 = 3,560.96 : x
  2. Step 2: Convert to fraction form
    5,657.60/7,806.24 = 3,560.96/x
  3. Step 3: Cross multiply
    5,657.60x = 7,806.24 × 3,560.96
  4. Step 4: Simplify right side
    5,657.60x = 27,797,708.39
  5. Step 5: Solve for x
    x = 27,797,708.39/5,657.60
  6. Step 6: Final answer
    x = 4,913.34

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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.