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Finding the Fourth Proportional to 3,896,092.53, 5,845,084.70 and 1,200,417.62

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Solution

The fourth proportional to 3,896,092.53, 5,845,084.70 and 1,200,417.62 is: 1,800,917.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,896,092.53 : 5,845,084.70 = 1,200,417.62 : x
  2. Step 2: Convert to fraction form
    3,896,092.53/5,845,084.70 = 1,200,417.62/x
  3. Step 3: Cross multiply
    3,896,092.53x = 5,845,084.70 × 1,200,417.62
  4. Step 4: Simplify right side
    3,896,092.53x = 7,016,542,664,272.42
  5. Step 5: Solve for x
    x = 7,016,542,664,272.42/3,896,092.53
  6. Step 6: Final answer
    x = 1,800,917.87

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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.