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Finding the Fourth Proportional to 5,057.91, 7,586.78 and 1,937.07

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Solution

The fourth proportional to 5,057.91, 7,586.78 and 1,937.07 is: 2,905.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,057.91 : 7,586.78 = 1,937.07 : x
  2. Step 2: Convert to fraction form
    5,057.91/7,586.78 = 1,937.07/x
  3. Step 3: Cross multiply
    5,057.91x = 7,586.78 × 1,937.07
  4. Step 4: Simplify right side
    5,057.91x = 14,696,114.25
  5. Step 5: Solve for x
    x = 14,696,114.25/5,057.91
  6. Step 6: Final answer
    x = 2,905.57

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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.