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Finding the Fourth Proportional to 3,709.59, 5,564.46 and 1,244.43

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Solution

The fourth proportional to 3,709.59, 5,564.46 and 1,244.43 is: 1,866.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,709.59 : 5,564.46 = 1,244.43 : x
  2. Step 2: Convert to fraction form
    3,709.59/5,564.46 = 1,244.43/x
  3. Step 3: Cross multiply
    3,709.59x = 5,564.46 × 1,244.43
  4. Step 4: Simplify right side
    3,709.59x = 6,924,580.96
  5. Step 5: Solve for x
    x = 6,924,580.96/3,709.59
  6. Step 6: Final answer
    x = 1,866.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.