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Finding the Fourth Proportional to 5,113.77, 7,667.10 and 2,610.09

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Solution

The fourth proportional to 5,113.77, 7,667.10 and 2,610.09 is: 3,913.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,113.77 : 7,667.10 = 2,610.09 : x
  2. Step 2: Convert to fraction form
    5,113.77/7,667.10 = 2,610.09/x
  3. Step 3: Cross multiply
    5,113.77x = 7,667.10 × 2,610.09
  4. Step 4: Simplify right side
    5,113.77x = 20,011,821.04
  5. Step 5: Solve for x
    x = 20,011,821.04/5,113.77
  6. Step 6: Final answer
    x = 3,913.32

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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.