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Finding the Fourth Proportional to 3,882,468.54, 5,823,717.12 and 1,186,783.29

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Solution

The fourth proportional to 3,882,468.54, 5,823,717.12 and 1,186,783.29 is: 1,780,179.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,882,468.54 : 5,823,717.12 = 1,186,783.29 : x
  2. Step 2: Convert to fraction form
    3,882,468.54/5,823,717.12 = 1,186,783.29/x
  3. Step 3: Cross multiply
    3,882,468.54x = 5,823,717.12 × 1,186,783.29
  4. Step 4: Simplify right side
    3,882,468.54x = 6,911,490,163,702.93
  5. Step 5: Solve for x
    x = 6,911,490,163,702.93/3,882,468.54
  6. Step 6: Final answer
    x = 1,780,179.31

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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.