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Finding the Fourth Proportional to 3,342.45, 5,011 and 1,586.57

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Solution

The fourth proportional to 3,342.45, 5,011 and 1,586.57 is: 2,378.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,342.45 : 5,011 = 1,586.57 : x
  2. Step 2: Convert to fraction form
    3,342.45/5,011 = 1,586.57/x
  3. Step 3: Cross multiply
    3,342.45x = 5,011 × 1,586.57
  4. Step 4: Simplify right side
    3,342.45x = 7,950,302.27
  5. Step 5: Solve for x
    x = 7,950,302.27/3,342.45
  6. Step 6: Final answer
    x = 2,378.59

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.