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Finding the Fourth Proportional to 4,823.24, 6,655.86 and 2,834

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Solution

The fourth proportional to 4,823.24, 6,655.86 and 2,834 is: 3,910.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,823.24 : 6,655.86 = 2,834 : x
  2. Step 2: Convert to fraction form
    4,823.24/6,655.86 = 2,834/x
  3. Step 3: Cross multiply
    4,823.24x = 6,655.86 × 2,834
  4. Step 4: Simplify right side
    4,823.24x = 18,862,707.24
  5. Step 5: Solve for x
    x = 18,862,707.24/4,823.24
  6. Step 6: Final answer
    x = 3,910.80

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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.