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Finding the Fourth Proportional to 4,761.11, 7,143.12 and 2,296.01

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Solution

The fourth proportional to 4,761.11, 7,143.12 and 2,296.01 is: 3,444.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,761.11 : 7,143.12 = 2,296.01 : x
  2. Step 2: Convert to fraction form
    4,761.11/7,143.12 = 2,296.01/x
  3. Step 3: Cross multiply
    4,761.11x = 7,143.12 × 2,296.01
  4. Step 4: Simplify right side
    4,761.11x = 16,400,692.81
  5. Step 5: Solve for x
    x = 16,400,692.81/4,761.11
  6. Step 6: Final answer
    x = 3,444.72

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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.