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Finding the Fourth Proportional to 5,057.34, 7,586.37 and 1,594.50

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Solution

The fourth proportional to 5,057.34, 7,586.37 and 1,594.50 is: 2,391.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,057.34 : 7,586.37 = 1,594.50 : x
  2. Step 2: Convert to fraction form
    5,057.34/7,586.37 = 1,594.50/x
  3. Step 3: Cross multiply
    5,057.34x = 7,586.37 × 1,594.50
  4. Step 4: Simplify right side
    5,057.34x = 12,096,466.97
  5. Step 5: Solve for x
    x = 12,096,466.97/5,057.34
  6. Step 6: Final answer
    x = 2,391.86

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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.