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Finding the Fourth Proportional to 3,403.89, 4,700.07 and 2,270.66

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Solution

The fourth proportional to 3,403.89, 4,700.07 and 2,270.66 is: 3,135.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,403.89 : 4,700.07 = 2,270.66 : x
  2. Step 2: Convert to fraction form
    3,403.89/4,700.07 = 2,270.66/x
  3. Step 3: Cross multiply
    3,403.89x = 4,700.07 × 2,270.66
  4. Step 4: Simplify right side
    3,403.89x = 10,672,237.45
  5. Step 5: Solve for x
    x = 10,672,237.45/3,403.89
  6. Step 6: Final answer
    x = 3,135.31

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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.