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Finding the Fourth Proportional to 6,133.71, 8,464.16 and 3,481.06

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Solution

The fourth proportional to 6,133.71, 8,464.16 and 3,481.06 is: 4,803.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,133.71 : 8,464.16 = 3,481.06 : x
  2. Step 2: Convert to fraction form
    6,133.71/8,464.16 = 3,481.06/x
  3. Step 3: Cross multiply
    6,133.71x = 8,464.16 × 3,481.06
  4. Step 4: Simplify right side
    6,133.71x = 29,464,248.81
  5. Step 5: Solve for x
    x = 29,464,248.81/6,133.71
  6. Step 6: Final answer
    x = 4,803.66

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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.