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Finding the Fourth Proportional to 4,932.93, 7,386.44 and 3,464.13

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Solution

The fourth proportional to 4,932.93, 7,386.44 and 3,464.13 is: 5,187.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,932.93 : 7,386.44 = 3,464.13 : x
  2. Step 2: Convert to fraction form
    4,932.93/7,386.44 = 3,464.13/x
  3. Step 3: Cross multiply
    4,932.93x = 7,386.44 × 3,464.13
  4. Step 4: Simplify right side
    4,932.93x = 25,587,571.08
  5. Step 5: Solve for x
    x = 25,587,571.08/4,932.93
  6. Step 6: Final answer
    x = 5,187.09

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.