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Finding the Fourth Proportional to 6,228.64, 8,596.79 and 3,577.87

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Solution

The fourth proportional to 6,228.64, 8,596.79 and 3,577.87 is: 4,938.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,228.64 : 8,596.79 = 3,577.87 : x
  2. Step 2: Convert to fraction form
    6,228.64/8,596.79 = 3,577.87/x
  3. Step 3: Cross multiply
    6,228.64x = 8,596.79 × 3,577.87
  4. Step 4: Simplify right side
    6,228.64x = 30,758,197.04
  5. Step 5: Solve for x
    x = 30,758,197.04/6,228.64
  6. Step 6: Final answer
    x = 4,938.19

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Why These Related Problems?

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