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Finding the Fourth Proportional to 6,281, 8,667.64 and 3,629.84

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Solution

The fourth proportional to 6,281, 8,667.64 and 3,629.84 is: 5,009.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,281 : 8,667.64 = 3,629.84 : x
  2. Step 2: Convert to fraction form
    6,281/8,667.64 = 3,629.84/x
  3. Step 3: Cross multiply
    6,281x = 8,667.64 × 3,629.84
  4. Step 4: Simplify right side
    6,281x = 31,462,146.38
  5. Step 5: Solve for x
    x = 31,462,146.38/6,281
  6. Step 6: Final answer
    x = 5,009.10

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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.