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Finding the Fourth Proportional to 5,562.38, 7,676.09 and 3,466.50

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Solution

The fourth proportional to 5,562.38, 7,676.09 and 3,466.50 is: 4,783.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,562.38 : 7,676.09 = 3,466.50 : x
  2. Step 2: Convert to fraction form
    5,562.38/7,676.09 = 3,466.50/x
  3. Step 3: Cross multiply
    5,562.38x = 7,676.09 × 3,466.50
  4. Step 4: Simplify right side
    5,562.38x = 26,609,148.65
  5. Step 5: Solve for x
    x = 26,609,148.65/5,562.38
  6. Step 6: Final answer
    x = 4,783.77

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.