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Finding the Fourth Proportional to 3,709.85, 5,564.77 and 3,158.51

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Solution

The fourth proportional to 3,709.85, 5,564.77 and 3,158.51 is: 4,737.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,709.85 : 5,564.77 = 3,158.51 : x
  2. Step 2: Convert to fraction form
    3,709.85/5,564.77 = 3,158.51/x
  3. Step 3: Cross multiply
    3,709.85x = 5,564.77 × 3,158.51
  4. Step 4: Simplify right side
    3,709.85x = 17,576,345.97
  5. Step 5: Solve for x
    x = 17,576,345.97/3,709.85
  6. Step 6: Final answer
    x = 4,737.76

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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.