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Finding the Fourth Proportional to 3,573.28, 5,361 and 2,407.96

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Solution

The fourth proportional to 3,573.28, 5,361 and 2,407.96 is: 3,612.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,573.28 : 5,361 = 2,407.96 : x
  2. Step 2: Convert to fraction form
    3,573.28/5,361 = 2,407.96/x
  3. Step 3: Cross multiply
    3,573.28x = 5,361 × 2,407.96
  4. Step 4: Simplify right side
    3,573.28x = 12,909,073.56
  5. Step 5: Solve for x
    x = 12,909,073.56/3,573.28
  6. Step 6: Final answer
    x = 3,612.67

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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.