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Finding the Fourth Proportional to 6,411,849.38, 8,848,289.13 and 3,471,652.16

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Solution

The fourth proportional to 6,411,849.38, 8,848,289.13 and 3,471,652.16 is: 4,790,845.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,411,849.38 : 8,848,289.13 = 3,471,652.16 : x
  2. Step 2: Convert to fraction form
    6,411,849.38/8,848,289.13 = 3,471,652.16/x
  3. Step 3: Cross multiply
    6,411,849.38x = 8,848,289.13 × 3,471,652.16
  4. Step 4: Simplify right side
    6,411,849.38x = 30,718,182,070,469.02
  5. Step 5: Solve for x
    x = 30,718,182,070,469.02/6,411,849.38
  6. Step 6: Final answer
    x = 4,790,845.86

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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.