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Finding the Fourth Proportional to 3,709.40, 5,564.16 and 1,516.59

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Solution

The fourth proportional to 3,709.40, 5,564.16 and 1,516.59 is: 2,274.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,709.40 : 5,564.16 = 1,516.59 : x
  2. Step 2: Convert to fraction form
    3,709.40/5,564.16 = 1,516.59/x
  3. Step 3: Cross multiply
    3,709.40x = 5,564.16 × 1,516.59
  4. Step 4: Simplify right side
    3,709.40x = 8,438,549.41
  5. Step 5: Solve for x
    x = 8,438,549.41/3,709.40
  6. Step 6: Final answer
    x = 2,274.91

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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.