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Finding the Fourth Proportional to 5,783,643.84, 7,981,428.52 and 3,205,490.69

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Solution

The fourth proportional to 5,783,643.84, 7,981,428.52 and 3,205,490.69 is: 4,423,577.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,783,643.84 : 7,981,428.52 = 3,205,490.69 : x
  2. Step 2: Convert to fraction form
    5,783,643.84/7,981,428.52 = 3,205,490.69/x
  3. Step 3: Cross multiply
    5,783,643.84x = 7,981,428.52 × 3,205,490.69
  4. Step 4: Simplify right side
    5,783,643.84x = 25,584,394,837,720.91
  5. Step 5: Solve for x
    x = 25,584,394,837,720.91/5,783,643.84
  6. Step 6: Final answer
    x = 4,423,577.17

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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.