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Finding the Fourth Proportional to 3,566.91, 4,922.34 and 1,995

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Solution

The fourth proportional to 3,566.91, 4,922.34 and 1,995 is: 2,753.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,566.91 : 4,922.34 = 1,995 : x
  2. Step 2: Convert to fraction form
    3,566.91/4,922.34 = 1,995/x
  3. Step 3: Cross multiply
    3,566.91x = 4,922.34 × 1,995
  4. Step 4: Simplify right side
    3,566.91x = 9,820,068.30
  5. Step 5: Solve for x
    x = 9,820,068.30/3,566.91
  6. Step 6: Final answer
    x = 2,753.10

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1.5x scale

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.