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Finding the Fourth Proportional to 4,414.63, 6,094.10 and 2,923.27

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Solution

The fourth proportional to 4,414.63, 6,094.10 and 2,923.27 is: 4,035.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,414.63 : 6,094.10 = 2,923.27 : x
  2. Step 2: Convert to fraction form
    4,414.63/6,094.10 = 2,923.27/x
  3. Step 3: Cross multiply
    4,414.63x = 6,094.10 × 2,923.27
  4. Step 4: Simplify right side
    4,414.63x = 17,814,699.71
  5. Step 5: Solve for x
    x = 17,814,699.71/4,414.63
  6. Step 6: Final answer
    x = 4,035.38

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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.