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Finding the Fourth Proportional to 4,648.44, 6,415 and 2,659.02

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Solution

The fourth proportional to 4,648.44, 6,415 and 2,659.02 is: 3,669.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,648.44 : 6,415 = 2,659.02 : x
  2. Step 2: Convert to fraction form
    4,648.44/6,415 = 2,659.02/x
  3. Step 3: Cross multiply
    4,648.44x = 6,415 × 2,659.02
  4. Step 4: Simplify right side
    4,648.44x = 17,057,613.30
  5. Step 5: Solve for x
    x = 17,057,613.30/4,648.44
  6. Step 6: Final answer
    x = 3,669.54

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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.