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Finding the Fourth Proportional to 5,682.44, 7,836.36 and 3,690.72

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Solution

The fourth proportional to 5,682.44, 7,836.36 and 3,690.72 is: 5,089.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,682.44 : 7,836.36 = 3,690.72 : x
  2. Step 2: Convert to fraction form
    5,682.44/7,836.36 = 3,690.72/x
  3. Step 3: Cross multiply
    5,682.44x = 7,836.36 × 3,690.72
  4. Step 4: Simplify right side
    5,682.44x = 28,921,810.58
  5. Step 5: Solve for x
    x = 28,921,810.58/5,682.44
  6. Step 6: Final answer
    x = 5,089.68

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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.