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Finding the Fourth Proportional to 3,933,805.73, 5,901,758.64 and 1,409,716.13

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Solution

The fourth proportional to 3,933,805.73, 5,901,758.64 and 1,409,716.13 is: 2,114,950.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,933,805.73 : 5,901,758.64 = 1,409,716.13 : x
  2. Step 2: Convert to fraction form
    3,933,805.73/5,901,758.64 = 1,409,716.13/x
  3. Step 3: Cross multiply
    3,933,805.73x = 5,901,758.64 × 1,409,716.13
  4. Step 4: Simplify right side
    3,933,805.73x = 8,319,804,350,174.86
  5. Step 5: Solve for x
    x = 8,319,804,350,174.86/3,933,805.73
  6. Step 6: Final answer
    x = 2,114,950.49

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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.