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Finding the Fourth Proportional to 5,667,857.91, 7,821,644.19 and 3,089,538.72

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Solution

The fourth proportional to 5,667,857.91, 7,821,644.19 and 3,089,538.72 is: 4,263,563.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,667,857.91 : 7,821,644.19 = 3,089,538.72 : x
  2. Step 2: Convert to fraction form
    5,667,857.91/7,821,644.19 = 3,089,538.72/x
  3. Step 3: Cross multiply
    5,667,857.91x = 7,821,644.19 × 3,089,538.72
  4. Step 4: Simplify right side
    5,667,857.91x = 24,165,272,579,068.04
  5. Step 5: Solve for x
    x = 24,165,272,579,068.04/5,667,857.91
  6. Step 6: Final answer
    x = 4,263,563.58

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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.