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Finding the Fourth Proportional to 4,996.01, 7,494.01 and 1,486

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Solution

The fourth proportional to 4,996.01, 7,494.01 and 1,486 is: 2,229.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,996.01 : 7,494.01 = 1,486 : x
  2. Step 2: Convert to fraction form
    4,996.01/7,494.01 = 1,486/x
  3. Step 3: Cross multiply
    4,996.01x = 7,494.01 × 1,486
  4. Step 4: Simplify right side
    4,996.01x = 11,136,098.86
  5. Step 5: Solve for x
    x = 11,136,098.86/4,996.01
  6. Step 6: Final answer
    x = 2,229.00

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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.