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Finding the Fourth Proportional to 5,699.46, 7,866.26 and 3,685.35

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Solution

The fourth proportional to 5,699.46, 7,866.26 and 3,685.35 is: 5,086.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,699.46 : 7,866.26 = 3,685.35 : x
  2. Step 2: Convert to fraction form
    5,699.46/7,866.26 = 3,685.35/x
  3. Step 3: Cross multiply
    5,699.46x = 7,866.26 × 3,685.35
  4. Step 4: Simplify right side
    5,699.46x = 28,989,902.86
  5. Step 5: Solve for x
    x = 28,989,902.86/5,699.46
  6. Step 6: Final answer
    x = 5,086.43

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.