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Finding the Fourth Proportional to 3,764.30, 5,645.22 and 1,299.08

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Solution

The fourth proportional to 3,764.30, 5,645.22 and 1,299.08 is: 1,948.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,764.30 : 5,645.22 = 1,299.08 : x
  2. Step 2: Convert to fraction form
    3,764.30/5,645.22 = 1,299.08/x
  3. Step 3: Cross multiply
    3,764.30x = 5,645.22 × 1,299.08
  4. Step 4: Simplify right side
    3,764.30x = 7,333,592.40
  5. Step 5: Solve for x
    x = 7,333,592.40/3,764.30
  6. Step 6: Final answer
    x = 1,948.20

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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.