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Finding the Fourth Proportional to 3,816,290.97, 5,724,407.29 and 976,398.57

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Solution

The fourth proportional to 3,816,290.97, 5,724,407.29 and 976,398.57 is: 1,464,590.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,816,290.97 : 5,724,407.29 = 976,398.57 : x
  2. Step 2: Convert to fraction form
    3,816,290.97/5,724,407.29 = 976,398.57/x
  3. Step 3: Cross multiply
    3,816,290.97x = 5,724,407.29 × 976,398.57
  4. Step 4: Simplify right side
    3,816,290.97x = 5,589,303,087,171.58
  5. Step 5: Solve for x
    x = 5,589,303,087,171.58/3,816,290.97
  6. Step 6: Final answer
    x = 1,464,590.39

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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.