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Finding the Fourth Proportional to 5,196.60, 7,794.15 and 3,089.46

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Solution

The fourth proportional to 5,196.60, 7,794.15 and 3,089.46 is: 4,633.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,196.60 : 7,794.15 = 3,089.46 : x
  2. Step 2: Convert to fraction form
    5,196.60/7,794.15 = 3,089.46/x
  3. Step 3: Cross multiply
    5,196.60x = 7,794.15 × 3,089.46
  4. Step 4: Simplify right side
    5,196.60x = 24,079,714.66
  5. Step 5: Solve for x
    x = 24,079,714.66/5,196.60
  6. Step 6: Final answer
    x = 4,633.74

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.