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Finding the Fourth Proportional to 3,733.16, 5,599.02 and 1,424.12

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Solution

The fourth proportional to 3,733.16, 5,599.02 and 1,424.12 is: 2,135.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,733.16 : 5,599.02 = 1,424.12 : x
  2. Step 2: Convert to fraction form
    3,733.16/5,599.02 = 1,424.12/x
  3. Step 3: Cross multiply
    3,733.16x = 5,599.02 × 1,424.12
  4. Step 4: Simplify right side
    3,733.16x = 7,973,676.36
  5. Step 5: Solve for x
    x = 7,973,676.36/3,733.16
  6. Step 6: Final answer
    x = 2,135.91

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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.