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Finding the Fourth Proportional to 3,490.99, 5,236.77 and 1,299.19

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Solution

The fourth proportional to 3,490.99, 5,236.77 and 1,299.19 is: 1,948.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,490.99 : 5,236.77 = 1,299.19 : x
  2. Step 2: Convert to fraction form
    3,490.99/5,236.77 = 1,299.19/x
  3. Step 3: Cross multiply
    3,490.99x = 5,236.77 × 1,299.19
  4. Step 4: Simplify right side
    3,490.99x = 6,803,559.22
  5. Step 5: Solve for x
    x = 6,803,559.22/3,490.99
  6. Step 6: Final answer
    x = 1,948.89

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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.