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Finding the Fourth Proportional to 4,777.50, 6,587.62 and 3,096.70

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Solution

The fourth proportional to 4,777.50, 6,587.62 and 3,096.70 is: 4,269.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,777.50 : 6,587.62 = 3,096.70 : x
  2. Step 2: Convert to fraction form
    4,777.50/6,587.62 = 3,096.70/x
  3. Step 3: Cross multiply
    4,777.50x = 6,587.62 × 3,096.70
  4. Step 4: Simplify right side
    4,777.50x = 20,399,882.85
  5. Step 5: Solve for x
    x = 20,399,882.85/4,777.50
  6. Step 6: Final answer
    x = 4,269.99

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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.