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Finding the Fourth Proportional to 3,664.77, 5,506.17 and 2,349.09

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Solution

The fourth proportional to 3,664.77, 5,506.17 and 2,349.09 is: 3,529.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,664.77 : 5,506.17 = 2,349.09 : x
  2. Step 2: Convert to fraction form
    3,664.77/5,506.17 = 2,349.09/x
  3. Step 3: Cross multiply
    3,664.77x = 5,506.17 × 2,349.09
  4. Step 4: Simplify right side
    3,664.77x = 12,934,488.89
  5. Step 5: Solve for x
    x = 12,934,488.89/3,664.77
  6. Step 6: Final answer
    x = 3,529.41

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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.