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Finding the Fourth Proportional to 5,530.77, 8,276.67 and 4,869.81

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Solution

The fourth proportional to 5,530.77, 8,276.67 and 4,869.81 is: 7,287.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,530.77 : 8,276.67 = 4,869.81 : x
  2. Step 2: Convert to fraction form
    5,530.77/8,276.67 = 4,869.81/x
  3. Step 3: Cross multiply
    5,530.77x = 8,276.67 × 4,869.81
  4. Step 4: Simplify right side
    5,530.77x = 40,305,810.33
  5. Step 5: Solve for x
    x = 40,305,810.33/5,530.77
  6. Step 6: Final answer
    x = 7,287.56

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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.