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Finding the Fourth Proportional to 3,707.34, 5,561.02 and 1,516.28

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Solution

The fourth proportional to 3,707.34, 5,561.02 and 1,516.28 is: 2,274.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,707.34 : 5,561.02 = 1,516.28 : x
  2. Step 2: Convert to fraction form
    3,707.34/5,561.02 = 1,516.28/x
  3. Step 3: Cross multiply
    3,707.34x = 5,561.02 × 1,516.28
  4. Step 4: Simplify right side
    3,707.34x = 8,432,063.41
  5. Step 5: Solve for x
    x = 8,432,063.41/3,707.34
  6. Step 6: Final answer
    x = 2,274.42

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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.