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Finding the Fourth Proportional to 3,667,270.02, 5,498,662.97 and 1,748,768.01

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Solution

The fourth proportional to 3,667,270.02, 5,498,662.97 and 1,748,768.01 is: 2,622,082.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,667,270.02 : 5,498,662.97 = 1,748,768.01 : x
  2. Step 2: Convert to fraction form
    3,667,270.02/5,498,662.97 = 1,748,768.01/x
  3. Step 3: Cross multiply
    3,667,270.02x = 5,498,662.97 × 1,748,768.01
  4. Step 4: Simplify right side
    3,667,270.02x = 9,615,885,904,079.51
  5. Step 5: Solve for x
    x = 9,615,885,904,079.51/3,667,270.02
  6. Step 6: Final answer
    x = 2,622,082.87

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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.