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Finding the Fourth Proportional to 3,499.74, 5,256.90 and 2,952.99

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Solution

The fourth proportional to 3,499.74, 5,256.90 and 2,952.99 is: 4,435.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,499.74 : 5,256.90 = 2,952.99 : x
  2. Step 2: Convert to fraction form
    3,499.74/5,256.90 = 2,952.99/x
  3. Step 3: Cross multiply
    3,499.74x = 5,256.90 × 2,952.99
  4. Step 4: Simplify right side
    3,499.74x = 15,523,573.13
  5. Step 5: Solve for x
    x = 15,523,573.13/3,499.74
  6. Step 6: Final answer
    x = 4,435.64

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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.