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Finding the Fourth Proportional to 5,695.97, 7,855.53 and 3,705.80

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Solution

The fourth proportional to 5,695.97, 7,855.53 and 3,705.80 is: 5,110.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,695.97 : 7,855.53 = 3,705.80 : x
  2. Step 2: Convert to fraction form
    5,695.97/7,855.53 = 3,705.80/x
  3. Step 3: Cross multiply
    5,695.97x = 7,855.53 × 3,705.80
  4. Step 4: Simplify right side
    5,695.97x = 29,111,023.07
  5. Step 5: Solve for x
    x = 29,111,023.07/5,695.97
  6. Step 6: Final answer
    x = 5,110.81

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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.