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Finding the Fourth Proportional to 3,720.01, 5,579.99 and 946.66

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Solution

The fourth proportional to 3,720.01, 5,579.99 and 946.66 is: 1,419.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,720.01 : 5,579.99 = 946.66 : x
  2. Step 2: Convert to fraction form
    3,720.01/5,579.99 = 946.66/x
  3. Step 3: Cross multiply
    3,720.01x = 5,579.99 × 946.66
  4. Step 4: Simplify right side
    3,720.01x = 5,282,353.33
  5. Step 5: Solve for x
    x = 5,282,353.33/3,720.01
  6. Step 6: Final answer
    x = 1,419.98

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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.