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Finding the Fourth Proportional to 3,695.86, 5,543.97 and 3,543.22

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Solution

The fourth proportional to 3,695.86, 5,543.97 and 3,543.22 is: 5,315.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,695.86 : 5,543.97 = 3,543.22 : x
  2. Step 2: Convert to fraction form
    3,695.86/5,543.97 = 3,543.22/x
  3. Step 3: Cross multiply
    3,695.86x = 5,543.97 × 3,543.22
  4. Step 4: Simplify right side
    3,695.86x = 19,643,505.38
  5. Step 5: Solve for x
    x = 19,643,505.38/3,695.86
  6. Step 6: Final answer
    x = 5,315.00

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1.5x scale

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.