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Finding the Fourth Proportional to 3,620.06, 5,431.89 and 1,430.36

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Solution

The fourth proportional to 3,620.06, 5,431.89 and 1,430.36 is: 2,146.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,620.06 : 5,431.89 = 1,430.36 : x
  2. Step 2: Convert to fraction form
    3,620.06/5,431.89 = 1,430.36/x
  3. Step 3: Cross multiply
    3,620.06x = 5,431.89 × 1,430.36
  4. Step 4: Simplify right side
    3,620.06x = 7,769,558.18
  5. Step 5: Solve for x
    x = 7,769,558.18/3,620.06
  6. Step 6: Final answer
    x = 2,146.25

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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.