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Finding the Fourth Proportional to 5,645.70, 7,792.74 and 3,656.39

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Solution

The fourth proportional to 5,645.70, 7,792.74 and 3,656.39 is: 5,046.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,645.70 : 7,792.74 = 3,656.39 : x
  2. Step 2: Convert to fraction form
    5,645.70/7,792.74 = 3,656.39/x
  3. Step 3: Cross multiply
    5,645.70x = 7,792.74 × 3,656.39
  4. Step 4: Simplify right side
    5,645.70x = 28,493,257.64
  5. Step 5: Solve for x
    x = 28,493,257.64/5,645.70
  6. Step 6: Final answer
    x = 5,046.90

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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.