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Finding the Fourth Proportional to 3,830,689.12, 5,747,726.40 and 2,008,618.96

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Solution

The fourth proportional to 3,830,689.12, 5,747,726.40 and 2,008,618.96 is: 3,013,816.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,830,689.12 : 5,747,726.40 = 2,008,618.96 : x
  2. Step 2: Convert to fraction form
    3,830,689.12/5,747,726.40 = 2,008,618.96/x
  3. Step 3: Cross multiply
    3,830,689.12x = 5,747,726.40 × 2,008,618.96
  4. Step 4: Simplify right side
    3,830,689.12x = 11,544,992,223,932.54
  5. Step 5: Solve for x
    x = 11,544,992,223,932.54/3,830,689.12
  6. Step 6: Final answer
    x = 3,013,816.02

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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.