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Finding the Fourth Proportional to 5,739,840.16, 7,920,978.66 and 3,161,520.92

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Solution

The fourth proportional to 5,739,840.16, 7,920,978.66 and 3,161,520.92 is: 4,362,898.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,739,840.16 : 7,920,978.66 = 3,161,520.92 : x
  2. Step 2: Convert to fraction form
    5,739,840.16/7,920,978.66 = 3,161,520.92/x
  3. Step 3: Cross multiply
    5,739,840.16x = 7,920,978.66 × 3,161,520.92
  4. Step 4: Simplify right side
    5,739,840.16x = 25,042,339,760,266.01
  5. Step 5: Solve for x
    x = 25,042,339,760,266.01/5,739,840.16
  6. Step 6: Final answer
    x = 4,362,898.46

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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.