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Finding the Fourth Proportional to 3,800.10, 5,697.39 and 2,564.46

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Solution

The fourth proportional to 3,800.10, 5,697.39 and 2,564.46 is: 3,844.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,800.10 : 5,697.39 = 2,564.46 : x
  2. Step 2: Convert to fraction form
    3,800.10/5,697.39 = 2,564.46/x
  3. Step 3: Cross multiply
    3,800.10x = 5,697.39 × 2,564.46
  4. Step 4: Simplify right side
    3,800.10x = 14,610,728.76
  5. Step 5: Solve for x
    x = 14,610,728.76/3,800.10
  6. Step 6: Final answer
    x = 3,844.83

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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.