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Finding the Fourth Proportional to 5,677.68, 7,830.36 and 3,661.44

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Solution

The fourth proportional to 5,677.68, 7,830.36 and 3,661.44 is: 5,049.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,677.68 : 7,830.36 = 3,661.44 : x
  2. Step 2: Convert to fraction form
    5,677.68/7,830.36 = 3,661.44/x
  3. Step 3: Cross multiply
    5,677.68x = 7,830.36 × 3,661.44
  4. Step 4: Simplify right side
    5,677.68x = 28,670,393.32
  5. Step 5: Solve for x
    x = 28,670,393.32/5,677.68
  6. Step 6: Final answer
    x = 5,049.67

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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.