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Finding the Fourth Proportional to 5,685.69, 8,526.63 and 2,174.88

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Solution

The fourth proportional to 5,685.69, 8,526.63 and 2,174.88 is: 3,261.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,685.69 : 8,526.63 = 2,174.88 : x
  2. Step 2: Convert to fraction form
    5,685.69/8,526.63 = 2,174.88/x
  3. Step 3: Cross multiply
    5,685.69x = 8,526.63 × 2,174.88
  4. Step 4: Simplify right side
    5,685.69x = 18,544,397.05
  5. Step 5: Solve for x
    x = 18,544,397.05/5,685.69
  6. Step 6: Final answer
    x = 3,261.59

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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.