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Finding the Fourth Proportional to 3,857,435.84, 5,786,542.64 and 1,017,744.32

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Solution

The fourth proportional to 3,857,435.84, 5,786,542.64 and 1,017,744.32 is: 1,526,719.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,857,435.84 : 5,786,542.64 = 1,017,744.32 : x
  2. Step 2: Convert to fraction form
    3,857,435.84/5,786,542.64 = 1,017,744.32/x
  3. Step 3: Cross multiply
    3,857,435.84x = 5,786,542.64 × 1,017,744.32
  4. Step 4: Simplify right side
    3,857,435.84x = 5,889,220,904,297.80
  5. Step 5: Solve for x
    x = 5,889,220,904,297.80/3,857,435.84
  6. Step 6: Final answer
    x = 1,526,719.08

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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.