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Finding the Fourth Proportional to 4,586.74, 6,334.90 and 3,092.09

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Solution

The fourth proportional to 4,586.74, 6,334.90 and 3,092.09 is: 4,270.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,586.74 : 6,334.90 = 3,092.09 : x
  2. Step 2: Convert to fraction form
    4,586.74/6,334.90 = 3,092.09/x
  3. Step 3: Cross multiply
    4,586.74x = 6,334.90 × 3,092.09
  4. Step 4: Simplify right side
    4,586.74x = 19,588,065.29
  5. Step 5: Solve for x
    x = 19,588,065.29/4,586.74
  6. Step 6: Final answer
    x = 4,270.58

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