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Finding the Fourth Proportional to 3,733.61, 5,599.71 and 1,511.85

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Solution

The fourth proportional to 3,733.61, 5,599.71 and 1,511.85 is: 2,267.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,733.61 : 5,599.71 = 1,511.85 : x
  2. Step 2: Convert to fraction form
    3,733.61/5,599.71 = 1,511.85/x
  3. Step 3: Cross multiply
    3,733.61x = 5,599.71 × 1,511.85
  4. Step 4: Simplify right side
    3,733.61x = 8,465,921.56
  5. Step 5: Solve for x
    x = 8,465,921.56/3,733.61
  6. Step 6: Final answer
    x = 2,267.49

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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.