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Finding the Fourth Proportional to 3,695.40, 5,543.11 and 922.07

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Solution

The fourth proportional to 3,695.40, 5,543.11 and 922.07 is: 1,383.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,695.40 : 5,543.11 = 922.07 : x
  2. Step 2: Convert to fraction form
    3,695.40/5,543.11 = 922.07/x
  3. Step 3: Cross multiply
    3,695.40x = 5,543.11 × 922.07
  4. Step 4: Simplify right side
    3,695.40x = 5,111,135.44
  5. Step 5: Solve for x
    x = 5,111,135.44/3,695.40
  6. Step 6: Final answer
    x = 1,383.11

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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.