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Finding the Fourth Proportional to 5,642,438.49, 7,786,496.52 and 3,064,137.66

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Solution

The fourth proportional to 5,642,438.49, 7,786,496.52 and 3,064,137.66 is: 4,228,472.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,642,438.49 : 7,786,496.52 = 3,064,137.66 : x
  2. Step 2: Convert to fraction form
    5,642,438.49/7,786,496.52 = 3,064,137.66/x
  3. Step 3: Cross multiply
    5,642,438.49x = 7,786,496.52 × 3,064,137.66
  4. Step 4: Simplify right side
    5,642,438.49x = 23,858,897,226,390.94
  5. Step 5: Solve for x
    x = 23,858,897,226,390.94/5,642,438.49
  6. Step 6: Final answer
    x = 4,228,472.72

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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.