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Finding the Fourth Proportional to 5,821.88, 8,730.13 and 1,872.40

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Solution

The fourth proportional to 5,821.88, 8,730.13 and 1,872.40 is: 2,807.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,821.88 : 8,730.13 = 1,872.40 : x
  2. Step 2: Convert to fraction form
    5,821.88/8,730.13 = 1,872.40/x
  3. Step 3: Cross multiply
    5,821.88x = 8,730.13 × 1,872.40
  4. Step 4: Simplify right side
    5,821.88x = 16,346,295.41
  5. Step 5: Solve for x
    x = 16,346,295.41/5,821.88
  6. Step 6: Final answer
    x = 2,807.74

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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.