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Finding the Fourth Proportional to 3,566.88, 4,922.48 and 1,995

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Solution

The fourth proportional to 3,566.88, 4,922.48 and 1,995 is: 2,753.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,566.88 : 4,922.48 = 1,995 : x
  2. Step 2: Convert to fraction form
    3,566.88/4,922.48 = 1,995/x
  3. Step 3: Cross multiply
    3,566.88x = 4,922.48 × 1,995
  4. Step 4: Simplify right side
    3,566.88x = 9,820,347.60
  5. Step 5: Solve for x
    x = 9,820,347.60/3,566.88
  6. Step 6: Final answer
    x = 2,753.20

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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.