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Finding the Fourth Proportional to 3,430.99, 5,146.67 and 1,091.17

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Solution

The fourth proportional to 3,430.99, 5,146.67 and 1,091.17 is: 1,636.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,430.99 : 5,146.67 = 1,091.17 : x
  2. Step 2: Convert to fraction form
    3,430.99/5,146.67 = 1,091.17/x
  3. Step 3: Cross multiply
    3,430.99x = 5,146.67 × 1,091.17
  4. Step 4: Simplify right side
    3,430.99x = 5,615,891.90
  5. Step 5: Solve for x
    x = 5,615,891.90/3,430.99
  6. Step 6: Final answer
    x = 1,636.81

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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.