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Finding the Fourth Proportional to 4,194,866.38, 5,789,359.78 and 2,564,228.24

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Solution

The fourth proportional to 4,194,866.38, 5,789,359.78 and 2,564,228.24 is: 3,538,906.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,194,866.38 : 5,789,359.78 = 2,564,228.24 : x
  2. Step 2: Convert to fraction form
    4,194,866.38/5,789,359.78 = 2,564,228.24/x
  3. Step 3: Cross multiply
    4,194,866.38x = 5,789,359.78 × 2,564,228.24
  4. Step 4: Simplify right side
    4,194,866.38x = 14,845,239,839,396.19
  5. Step 5: Solve for x
    x = 14,845,239,839,396.19/4,194,866.38
  6. Step 6: Final answer
    x = 3,538,906.49

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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.