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Finding the Fourth Proportional to 3,933,805.74, 5,901,758.64 and 1,409,716.14

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Solution

The fourth proportional to 3,933,805.74, 5,901,758.64 and 1,409,716.14 is: 2,114,950.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,933,805.74 : 5,901,758.64 = 1,409,716.14 : x
  2. Step 2: Convert to fraction form
    3,933,805.74/5,901,758.64 = 1,409,716.14/x
  3. Step 3: Cross multiply
    3,933,805.74x = 5,901,758.64 × 1,409,716.14
  4. Step 4: Simplify right side
    3,933,805.74x = 8,319,804,409,192.45
  5. Step 5: Solve for x
    x = 8,319,804,409,192.45/3,933,805.74
  6. Step 6: Final answer
    x = 2,114,950.50

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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.