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Finding the Fourth Proportional to 6,500.57, 8,970.77 and 3,667.94

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Solution

The fourth proportional to 6,500.57, 8,970.77 and 3,667.94 is: 5,061.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,500.57 : 8,970.77 = 3,667.94 : x
  2. Step 2: Convert to fraction form
    6,500.57/8,970.77 = 3,667.94/x
  3. Step 3: Cross multiply
    6,500.57x = 8,970.77 × 3,667.94
  4. Step 4: Simplify right side
    6,500.57x = 32,904,201.26
  5. Step 5: Solve for x
    x = 32,904,201.26/6,500.57
  6. Step 6: Final answer
    x = 5,061.74

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.