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Finding the Fourth Proportional to 3,894,584.16, 5,842,429.14 and 1,199,133.42

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Solution

The fourth proportional to 3,894,584.16, 5,842,429.14 and 1,199,133.42 is: 1,798,870.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,894,584.16 : 5,842,429.14 = 1,199,133.42 : x
  2. Step 2: Convert to fraction form
    3,894,584.16/5,842,429.14 = 1,199,133.42/x
  3. Step 3: Cross multiply
    3,894,584.16x = 5,842,429.14 × 1,199,133.42
  4. Step 4: Simplify right side
    3,894,584.16x = 7,005,852,035,755.86
  5. Step 5: Solve for x
    x = 7,005,852,035,755.86/3,894,584.16
  6. Step 6: Final answer
    x = 1,798,870.37

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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.