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Finding the Fourth Proportional to 6,133.56, 8,464.96 and 3,775.66

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Solution

The fourth proportional to 6,133.56, 8,464.96 and 3,775.66 is: 5,210.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,133.56 : 8,464.96 = 3,775.66 : x
  2. Step 2: Convert to fraction form
    6,133.56/8,464.96 = 3,775.66/x
  3. Step 3: Cross multiply
    6,133.56x = 8,464.96 × 3,775.66
  4. Step 4: Simplify right side
    6,133.56x = 31,960,810.87
  5. Step 5: Solve for x
    x = 31,960,810.87/6,133.56
  6. Step 6: Final answer
    x = 5,210.81

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.