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Finding the Fourth Proportional to 4,291.01, 6,434.00 and 1,824.56

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Solution

The fourth proportional to 4,291.01, 6,434.00 and 1,824.56 is: 2,735.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,291.01 : 6,434.00 = 1,824.56 : x
  2. Step 2: Convert to fraction form
    4,291.01/6,434.00 = 1,824.56/x
  3. Step 3: Cross multiply
    4,291.01x = 6,434.00 × 1,824.56
  4. Step 4: Simplify right side
    4,291.01x = 11,739,208.72
  5. Step 5: Solve for x
    x = 11,739,208.72/4,291.01
  6. Step 6: Final answer
    x = 2,735.77

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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.