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Finding the Fourth Proportional to 6,462.42, 8,918.08 and 3,629.84

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Solution

The fourth proportional to 6,462.42, 8,918.08 and 3,629.84 is: 5,009.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,462.42 : 8,918.08 = 3,629.84 : x
  2. Step 2: Convert to fraction form
    6,462.42/8,918.08 = 3,629.84/x
  3. Step 3: Cross multiply
    6,462.42x = 8,918.08 × 3,629.84
  4. Step 4: Simplify right side
    6,462.42x = 32,371,179.14
  5. Step 5: Solve for x
    x = 32,371,179.14/6,462.42
  6. Step 6: Final answer
    x = 5,009.14

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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.