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Finding the Fourth Proportional to 4,733.14, 7,099.72 and 2,555.72

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Solution

The fourth proportional to 4,733.14, 7,099.72 and 2,555.72 is: 3,833.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,733.14 : 7,099.72 = 2,555.72 : x
  2. Step 2: Convert to fraction form
    4,733.14/7,099.72 = 2,555.72/x
  3. Step 3: Cross multiply
    4,733.14x = 7,099.72 × 2,555.72
  4. Step 4: Simplify right side
    4,733.14x = 18,144,848.12
  5. Step 5: Solve for x
    x = 18,144,848.12/4,733.14
  6. Step 6: Final answer
    x = 3,833.58

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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.