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Finding the Fourth Proportional to 3,574.60, 5,359.73 and 1,599.87

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Solution

The fourth proportional to 3,574.60, 5,359.73 and 1,599.87 is: 2,398.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,574.60 : 5,359.73 = 1,599.87 : x
  2. Step 2: Convert to fraction form
    3,574.60/5,359.73 = 1,599.87/x
  3. Step 3: Cross multiply
    3,574.60x = 5,359.73 × 1,599.87
  4. Step 4: Simplify right side
    3,574.60x = 8,574,871.24
  5. Step 5: Solve for x
    x = 8,574,871.24/3,574.60
  6. Step 6: Final answer
    x = 2,398.83

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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.