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Finding the Fourth Proportional to 3,882,387.51, 5,823,596.25 and 1,186,702.25

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Solution

The fourth proportional to 3,882,387.51, 5,823,596.25 and 1,186,702.25 is: 1,780,057.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,882,387.51 : 5,823,596.25 = 1,186,702.25 : x
  2. Step 2: Convert to fraction form
    3,882,387.51/5,823,596.25 = 1,186,702.25/x
  3. Step 3: Cross multiply
    3,882,387.51x = 5,823,596.25 × 1,186,702.25
  4. Step 4: Simplify right side
    3,882,387.51x = 6,910,874,743,848.58
  5. Step 5: Solve for x
    x = 6,910,874,743,848.58/3,882,387.51
  6. Step 6: Final answer
    x = 1,780,057.95

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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.