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Finding the Fourth Proportional to 3,546.83, 5,321.10 and 1,599.03

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Solution

The fourth proportional to 3,546.83, 5,321.10 and 1,599.03 is: 2,398.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,546.83 : 5,321.10 = 1,599.03 : x
  2. Step 2: Convert to fraction form
    3,546.83/5,321.10 = 1,599.03/x
  3. Step 3: Cross multiply
    3,546.83x = 5,321.10 × 1,599.03
  4. Step 4: Simplify right side
    3,546.83x = 8,508,598.53
  5. Step 5: Solve for x
    x = 8,508,598.53/3,546.83
  6. Step 6: Final answer
    x = 2,398.93

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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.