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Finding the Fourth Proportional to 4,484.06, 6,727.17 and 1,406.06

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Solution

The fourth proportional to 4,484.06, 6,727.17 and 1,406.06 is: 2,109.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,484.06 : 6,727.17 = 1,406.06 : x
  2. Step 2: Convert to fraction form
    4,484.06/6,727.17 = 1,406.06/x
  3. Step 3: Cross multiply
    4,484.06x = 6,727.17 × 1,406.06
  4. Step 4: Simplify right side
    4,484.06x = 9,458,804.65
  5. Step 5: Solve for x
    x = 9,458,804.65/4,484.06
  6. Step 6: Final answer
    x = 2,109.43

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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.