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Finding the Fourth Proportional to 5,667.86, 8,502.21 and 1,772.25

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Solution

The fourth proportional to 5,667.86, 8,502.21 and 1,772.25 is: 2,658.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,667.86 : 8,502.21 = 1,772.25 : x
  2. Step 2: Convert to fraction form
    5,667.86/8,502.21 = 1,772.25/x
  3. Step 3: Cross multiply
    5,667.86x = 8,502.21 × 1,772.25
  4. Step 4: Simplify right side
    5,667.86x = 15,068,041.67
  5. Step 5: Solve for x
    x = 15,068,041.67/5,667.86
  6. Step 6: Final answer
    x = 2,658.51

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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.