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Finding the Fourth Proportional to 5,855.16, 8,781.42 and 1,694.28

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Solution

The fourth proportional to 5,855.16, 8,781.42 and 1,694.28 is: 2,541.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,855.16 : 8,781.42 = 1,694.28 : x
  2. Step 2: Convert to fraction form
    5,855.16/8,781.42 = 1,694.28/x
  3. Step 3: Cross multiply
    5,855.16x = 8,781.42 × 1,694.28
  4. Step 4: Simplify right side
    5,855.16x = 14,878,184.28
  5. Step 5: Solve for x
    x = 14,878,184.28/5,855.16
  6. Step 6: Final answer
    x = 2,541.04

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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.