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Finding the Fourth Proportional to 5,476.14, 8,212.95 and 1,777.68

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Solution

The fourth proportional to 5,476.14, 8,212.95 and 1,777.68 is: 2,666.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,476.14 : 8,212.95 = 1,777.68 : x
  2. Step 2: Convert to fraction form
    5,476.14/8,212.95 = 1,777.68/x
  3. Step 3: Cross multiply
    5,476.14x = 8,212.95 × 1,777.68
  4. Step 4: Simplify right side
    5,476.14x = 14,599,996.96
  5. Step 5: Solve for x
    x = 14,599,996.96/5,476.14
  6. Step 6: Final answer
    x = 2,666.11

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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.