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Finding the Fourth Proportional to 3,393.72, 5,087.07 and 1,420.49

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Solution

The fourth proportional to 3,393.72, 5,087.07 and 1,420.49 is: 2,129.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,393.72 : 5,087.07 = 1,420.49 : x
  2. Step 2: Convert to fraction form
    3,393.72/5,087.07 = 1,420.49/x
  3. Step 3: Cross multiply
    3,393.72x = 5,087.07 × 1,420.49
  4. Step 4: Simplify right side
    3,393.72x = 7,226,106.63
  5. Step 5: Solve for x
    x = 7,226,106.63/3,393.72
  6. Step 6: Final answer
    x = 2,129.26

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.