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Finding the Fourth Proportional to 3,583.68, 4,946 and 2,092.04

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Solution

The fourth proportional to 3,583.68, 4,946 and 2,092.04 is: 2,887.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,583.68 : 4,946 = 2,092.04 : x
  2. Step 2: Convert to fraction form
    3,583.68/4,946 = 2,092.04/x
  3. Step 3: Cross multiply
    3,583.68x = 4,946 × 2,092.04
  4. Step 4: Simplify right side
    3,583.68x = 10,347,229.84
  5. Step 5: Solve for x
    x = 10,347,229.84/3,583.68
  6. Step 6: Final answer
    x = 2,887.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.