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Finding the Fourth Proportional to 5,667,807.74, 7,821,279.56 and 3,220,079.06

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Solution

The fourth proportional to 5,667,807.74, 7,821,279.56 and 3,220,079.06 is: 4,443,541.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,667,807.74 : 7,821,279.56 = 3,220,079.06 : x
  2. Step 2: Convert to fraction form
    5,667,807.74/7,821,279.56 = 3,220,079.06/x
  3. Step 3: Cross multiply
    5,667,807.74x = 7,821,279.56 × 3,220,079.06
  4. Step 4: Simplify right side
    5,667,807.74x = 25,185,138,543,052.46
  5. Step 5: Solve for x
    x = 25,185,138,543,052.46/5,667,807.74
  6. Step 6: Final answer
    x = 4,443,541.44

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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.