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Finding the Fourth Proportional to 4,509.86, 6,760.53 and 1,586.30

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Solution

The fourth proportional to 4,509.86, 6,760.53 and 1,586.30 is: 2,377.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,509.86 : 6,760.53 = 1,586.30 : x
  2. Step 2: Convert to fraction form
    4,509.86/6,760.53 = 1,586.30/x
  3. Step 3: Cross multiply
    4,509.86x = 6,760.53 × 1,586.30
  4. Step 4: Simplify right side
    4,509.86x = 10,724,194.94
  5. Step 5: Solve for x
    x = 10,724,194.94/4,509.86
  6. Step 6: Final answer
    x = 2,377.95

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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.