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Finding the Fourth Proportional to 4,009, 5,533.02 and 2,614.72

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Solution

The fourth proportional to 4,009, 5,533.02 and 2,614.72 is: 3,608.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,009 : 5,533.02 = 2,614.72 : x
  2. Step 2: Convert to fraction form
    4,009/5,533.02 = 2,614.72/x
  3. Step 3: Cross multiply
    4,009x = 5,533.02 × 2,614.72
  4. Step 4: Simplify right side
    4,009x = 14,467,298.05
  5. Step 5: Solve for x
    x = 14,467,298.05/4,009
  6. Step 6: Final answer
    x = 3,608.70

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.