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Finding the Fourth Proportional to 5,796,782.82, 7,999,810.38 and 3,218,464.08

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Solution

The fourth proportional to 5,796,782.82, 7,999,810.38 and 3,218,464.08 is: 4,441,619.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,796,782.82 : 7,999,810.38 = 3,218,464.08 : x
  2. Step 2: Convert to fraction form
    5,796,782.82/7,999,810.38 = 3,218,464.08/x
  3. Step 3: Cross multiply
    5,796,782.82x = 7,999,810.38 × 3,218,464.08
  4. Step 4: Simplify right side
    5,796,782.82x = 25,747,102,354,841.15
  5. Step 5: Solve for x
    x = 25,747,102,354,841.15/5,796,782.82
  6. Step 6: Final answer
    x = 4,441,619.28

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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.