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Finding the Fourth Proportional to 4,753.86, 7,133.86 and 2,564.12

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Solution

The fourth proportional to 4,753.86, 7,133.86 and 2,564.12 is: 3,847.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,753.86 : 7,133.86 = 2,564.12 : x
  2. Step 2: Convert to fraction form
    4,753.86/7,133.86 = 2,564.12/x
  3. Step 3: Cross multiply
    4,753.86x = 7,133.86 × 2,564.12
  4. Step 4: Simplify right side
    4,753.86x = 18,292,073.10
  5. Step 5: Solve for x
    x = 18,292,073.10/4,753.86
  6. Step 6: Final answer
    x = 3,847.84

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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.