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Finding the Fourth Proportional to 5,666.34, 8,499.42 and 1,770.96

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Solution

The fourth proportional to 5,666.34, 8,499.42 and 1,770.96 is: 2,656.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,666.34 : 8,499.42 = 1,770.96 : x
  2. Step 2: Convert to fraction form
    5,666.34/8,499.42 = 1,770.96/x
  3. Step 3: Cross multiply
    5,666.34x = 8,499.42 × 1,770.96
  4. Step 4: Simplify right side
    5,666.34x = 15,052,132.84
  5. Step 5: Solve for x
    x = 15,052,132.84/5,666.34
  6. Step 6: Final answer
    x = 2,656.41

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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.