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Finding the Fourth Proportional to 5,821,711.14, 8,691,632.96 and 4,448,297.01

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Solution

The fourth proportional to 5,821,711.14, 8,691,632.96 and 4,448,297.01 is: 6,641,168.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,821,711.14 : 8,691,632.96 = 4,448,297.01 : x
  2. Step 2: Convert to fraction form
    5,821,711.14/8,691,632.96 = 4,448,297.01/x
  3. Step 3: Cross multiply
    5,821,711.14x = 8,691,632.96 × 4,448,297.01
  4. Step 4: Simplify right side
    5,821,711.14x = 38,662,964,919,106.20
  5. Step 5: Solve for x
    x = 38,662,964,919,106.20/5,821,711.14
  6. Step 6: Final answer
    x = 6,641,168.55

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.