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Finding the Fourth Proportional to 4,771.58, 7,156.38 and 1,809

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Solution

The fourth proportional to 4,771.58, 7,156.38 and 1,809 is: 2,713.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,771.58 : 7,156.38 = 1,809 : x
  2. Step 2: Convert to fraction form
    4,771.58/7,156.38 = 1,809/x
  3. Step 3: Cross multiply
    4,771.58x = 7,156.38 × 1,809
  4. Step 4: Simplify right side
    4,771.58x = 12,945,898.20
  5. Step 5: Solve for x
    x = 12,945,898.20/4,771.58
  6. Step 6: Final answer
    x = 2,713.13

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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.