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Finding the Fourth Proportional to 5,666.07, 8,500.73 and 1,770.78

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Solution

The fourth proportional to 5,666.07, 8,500.73 and 1,770.78 is: 2,656.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,666.07 : 8,500.73 = 1,770.78 : x
  2. Step 2: Convert to fraction form
    5,666.07/8,500.73 = 1,770.78/x
  3. Step 3: Cross multiply
    5,666.07x = 8,500.73 × 1,770.78
  4. Step 4: Simplify right side
    5,666.07x = 15,052,913.82
  5. Step 5: Solve for x
    x = 15,052,913.82/5,666.07
  6. Step 6: Final answer
    x = 2,656.68

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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.