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Finding the Fourth Proportional to 5,290,770.25, 7,936,565.52 and 1,647,042.37

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Solution

The fourth proportional to 5,290,770.25, 7,936,565.52 and 1,647,042.37 is: 2,470,691.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,290,770.25 : 7,936,565.52 = 1,647,042.37 : x
  2. Step 2: Convert to fraction form
    5,290,770.25/7,936,565.52 = 1,647,042.37/x
  3. Step 3: Cross multiply
    5,290,770.25x = 7,936,565.52 × 1,647,042.37
  4. Step 4: Simplify right side
    5,290,770.25x = 13,071,859,683,721.08
  5. Step 5: Solve for x
    x = 13,071,859,683,721.08/5,290,770.25
  6. Step 6: Final answer
    x = 2,470,691.24

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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.