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Finding the Fourth Proportional to 3,816,291.22, 5,724,407.66 and 976,398.82

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Solution

The fourth proportional to 3,816,291.22, 5,724,407.66 and 976,398.82 is: 1,464,590.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,816,291.22 : 5,724,407.66 = 976,398.82 : x
  2. Step 2: Convert to fraction form
    3,816,291.22/5,724,407.66 = 976,398.82/x
  3. Step 3: Cross multiply
    3,816,291.22x = 5,724,407.66 × 976,398.82
  4. Step 4: Simplify right side
    3,816,291.22x = 5,589,304,872,552.94
  5. Step 5: Solve for x
    x = 5,589,304,872,552.94/3,816,291.22
  6. Step 6: Final answer
    x = 1,464,590.76

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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.