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Finding the Fourth Proportional to 3,906,643.20, 5,859,964.80 and 2,413,651.20

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Solution

The fourth proportional to 3,906,643.20, 5,859,964.80 and 2,413,651.20 is: 3,620,476.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,906,643.20 : 5,859,964.80 = 2,413,651.20 : x
  2. Step 2: Convert to fraction form
    3,906,643.20/5,859,964.80 = 2,413,651.20/x
  3. Step 3: Cross multiply
    3,906,643.20x = 5,859,964.80 × 2,413,651.20
  4. Step 4: Simplify right side
    3,906,643.20x = 14,143,911,071,477.76
  5. Step 5: Solve for x
    x = 14,143,911,071,477.76/3,906,643.20
  6. Step 6: Final answer
    x = 3,620,476.80

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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.