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Finding the Fourth Proportional to 4,502.99, 6,754.46 and 1,540.01

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Solution

The fourth proportional to 4,502.99, 6,754.46 and 1,540.01 is: 2,310.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,502.99 : 6,754.46 = 1,540.01 : x
  2. Step 2: Convert to fraction form
    4,502.99/6,754.46 = 1,540.01/x
  3. Step 3: Cross multiply
    4,502.99x = 6,754.46 × 1,540.01
  4. Step 4: Simplify right side
    4,502.99x = 10,401,894.47
  5. Step 5: Solve for x
    x = 10,401,894.47/4,502.99
  6. Step 6: Final answer
    x = 2,310.00

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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.