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Finding the Fourth Proportional to 5,184.70, 7,779 and 3,106.18

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Solution

The fourth proportional to 5,184.70, 7,779 and 3,106.18 is: 4,660.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,184.70 : 7,779 = 3,106.18 : x
  2. Step 2: Convert to fraction form
    5,184.70/7,779 = 3,106.18/x
  3. Step 3: Cross multiply
    5,184.70x = 7,779 × 3,106.18
  4. Step 4: Simplify right side
    5,184.70x = 24,162,974.22
  5. Step 5: Solve for x
    x = 24,162,974.22/5,184.70
  6. Step 6: Final answer
    x = 4,660.44

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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.