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Finding the Fourth Proportional to 5,642,516.81, 7,789,057.07 and 3,809,458.19

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Solution

The fourth proportional to 5,642,516.81, 7,789,057.07 and 3,809,458.19 is: 5,258,661.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,642,516.81 : 7,789,057.07 = 3,809,458.19 : x
  2. Step 2: Convert to fraction form
    5,642,516.81/7,789,057.07 = 3,809,458.19/x
  3. Step 3: Cross multiply
    5,642,516.81x = 7,789,057.07 × 3,809,458.19
  4. Step 4: Simplify right side
    5,642,516.81x = 29,672,087,248,114.25
  5. Step 5: Solve for x
    x = 29,672,087,248,114.25/5,642,516.81
  6. Step 6: Final answer
    x = 5,258,661.73

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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.