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Finding the Fourth Proportional to 3,681.52, 5,519.16 and 1,599.94

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Solution

The fourth proportional to 3,681.52, 5,519.16 and 1,599.94 is: 2,398.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,681.52 : 5,519.16 = 1,599.94 : x
  2. Step 2: Convert to fraction form
    3,681.52/5,519.16 = 1,599.94/x
  3. Step 3: Cross multiply
    3,681.52x = 5,519.16 × 1,599.94
  4. Step 4: Simplify right side
    3,681.52x = 8,830,324.85
  5. Step 5: Solve for x
    x = 8,830,324.85/3,681.52
  6. Step 6: Final answer
    x = 2,398.55

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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.