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Finding the Fourth Proportional to 3,709.26, 5,564.16 and 1,245.78

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Solution

The fourth proportional to 3,709.26, 5,564.16 and 1,245.78 is: 1,868.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,709.26 : 5,564.16 = 1,245.78 : x
  2. Step 2: Convert to fraction form
    3,709.26/5,564.16 = 1,245.78/x
  3. Step 3: Cross multiply
    3,709.26x = 5,564.16 × 1,245.78
  4. Step 4: Simplify right side
    3,709.26x = 6,931,719.24
  5. Step 5: Solve for x
    x = 6,931,719.24/3,709.26
  6. Step 6: Final answer
    x = 1,868.76

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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.