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Finding the Fourth Proportional to 3,599.91, 4,967.91 and 2,028

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Solution

The fourth proportional to 3,599.91, 4,967.91 and 2,028 is: 2,798.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,599.91 : 4,967.91 = 2,028 : x
  2. Step 2: Convert to fraction form
    3,599.91/4,967.91 = 2,028/x
  3. Step 3: Cross multiply
    3,599.91x = 4,967.91 × 2,028
  4. Step 4: Simplify right side
    3,599.91x = 10,074,921.48
  5. Step 5: Solve for x
    x = 10,074,921.48/3,599.91
  6. Step 6: Final answer
    x = 2,798.66

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.