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Finding the Fourth Proportional to 3,368.70, 5,055.76 and 1,422.26

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Solution

The fourth proportional to 3,368.70, 5,055.76 and 1,422.26 is: 2,134.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,368.70 : 5,055.76 = 1,422.26 : x
  2. Step 2: Convert to fraction form
    3,368.70/5,055.76 = 1,422.26/x
  3. Step 3: Cross multiply
    3,368.70x = 5,055.76 × 1,422.26
  4. Step 4: Simplify right side
    3,368.70x = 7,190,605.22
  5. Step 5: Solve for x
    x = 7,190,605.22/3,368.70
  6. Step 6: Final answer
    x = 2,134.53

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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.