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Finding the Fourth Proportional to 5,699,201.82, 7,866,085.98 and 5,239,588.38

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Solution

The fourth proportional to 5,699,201.82, 7,866,085.98 and 5,239,588.38 is: 7,231,723.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,699,201.82 : 7,866,085.98 = 5,239,588.38 : x
  2. Step 2: Convert to fraction form
    5,699,201.82/7,866,085.98 = 5,239,588.38/x
  3. Step 3: Cross multiply
    5,699,201.82x = 7,866,085.98 × 5,239,588.38
  4. Step 4: Simplify right side
    5,699,201.82x = 41,215,052,696,888.91
  5. Step 5: Solve for x
    x = 41,215,052,696,888.91/5,699,201.82
  6. Step 6: Final answer
    x = 7,231,723.67

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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.