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Finding the Fourth Proportional to 6,586.56, 9,089.40 and 3,792

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Solution

The fourth proportional to 6,586.56, 9,089.40 and 3,792 is: 5,232.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,586.56 : 9,089.40 = 3,792 : x
  2. Step 2: Convert to fraction form
    6,586.56/9,089.40 = 3,792/x
  3. Step 3: Cross multiply
    6,586.56x = 9,089.40 × 3,792
  4. Step 4: Simplify right side
    6,586.56x = 34,467,004.80
  5. Step 5: Solve for x
    x = 34,467,004.80/6,586.56
  6. Step 6: Final answer
    x = 5,232.93

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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.