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Finding the Fourth Proportional to 4,052.95, 6,080.07 and 1,744.47

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Solution

The fourth proportional to 4,052.95, 6,080.07 and 1,744.47 is: 2,616.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,052.95 : 6,080.07 = 1,744.47 : x
  2. Step 2: Convert to fraction form
    4,052.95/6,080.07 = 1,744.47/x
  3. Step 3: Cross multiply
    4,052.95x = 6,080.07 × 1,744.47
  4. Step 4: Simplify right side
    4,052.95x = 10,606,499.71
  5. Step 5: Solve for x
    x = 10,606,499.71/4,052.95
  6. Step 6: Final answer
    x = 2,616.98

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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.