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Finding the Fourth Proportional to 5,052, 7,576.83 and 1,930.89

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Solution

The fourth proportional to 5,052, 7,576.83 and 1,930.89 is: 2,895.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,052 : 7,576.83 = 1,930.89 : x
  2. Step 2: Convert to fraction form
    5,052/7,576.83 = 1,930.89/x
  3. Step 3: Cross multiply
    5,052x = 7,576.83 × 1,930.89
  4. Step 4: Simplify right side
    5,052x = 14,630,025.28
  5. Step 5: Solve for x
    x = 14,630,025.28/5,052
  6. Step 6: Final answer
    x = 2,895.89

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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.