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Finding the Fourth Proportional to 4,777.71, 7,162.48 and 1,814.49

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Solution

The fourth proportional to 4,777.71, 7,162.48 and 1,814.49 is: 2,720.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,777.71 : 7,162.48 = 1,814.49 : x
  2. Step 2: Convert to fraction form
    4,777.71/7,162.48 = 1,814.49/x
  3. Step 3: Cross multiply
    4,777.71x = 7,162.48 × 1,814.49
  4. Step 4: Simplify right side
    4,777.71x = 12,996,240.40
  5. Step 5: Solve for x
    x = 12,996,240.40/4,777.71
  6. Step 6: Final answer
    x = 2,720.18

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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.