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Finding the Fourth Proportional to 3,857,436.84, 5,786,544.14 and 1,017,745.32

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Solution

The fourth proportional to 3,857,436.84, 5,786,544.14 and 1,017,745.32 is: 1,526,720.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,857,436.84 : 5,786,544.14 = 1,017,745.32 : x
  2. Step 2: Convert to fraction form
    3,857,436.84/5,786,544.14 = 1,017,745.32/x
  3. Step 3: Cross multiply
    3,857,436.84x = 5,786,544.14 × 1,017,745.32
  4. Step 4: Simplify right side
    3,857,436.84x = 5,889,228,217,458.42
  5. Step 5: Solve for x
    x = 5,889,228,217,458.42/3,857,436.84
  6. Step 6: Final answer
    x = 1,526,720.58

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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.