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Finding the Fourth Proportional to 7,051.56, 10,572.12 and 3,491.64

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Solution

The fourth proportional to 7,051.56, 10,572.12 and 3,491.64 is: 5,234.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,051.56 : 10,572.12 = 3,491.64 : x
  2. Step 2: Convert to fraction form
    7,051.56/10,572.12 = 3,491.64/x
  3. Step 3: Cross multiply
    7,051.56x = 10,572.12 × 3,491.64
  4. Step 4: Simplify right side
    7,051.56x = 36,914,037.08
  5. Step 5: Solve for x
    x = 36,914,037.08/7,051.56
  6. Step 6: Final answer
    x = 5,234.88

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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.