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Finding the Fourth Proportional to 4,644.09, 6,962.47 and 2,302.48

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Solution

The fourth proportional to 4,644.09, 6,962.47 and 2,302.48 is: 3,451.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,644.09 : 6,962.47 = 2,302.48 : x
  2. Step 2: Convert to fraction form
    4,644.09/6,962.47 = 2,302.48/x
  3. Step 3: Cross multiply
    4,644.09x = 6,962.47 × 2,302.48
  4. Step 4: Simplify right side
    4,644.09x = 16,030,947.93
  5. Step 5: Solve for x
    x = 16,030,947.93/4,644.09
  6. Step 6: Final answer
    x = 3,451.90

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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.