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Finding the Fourth Proportional to 5,890.92, 8,825.99 and 3,111.47

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Solution

The fourth proportional to 5,890.92, 8,825.99 and 3,111.47 is: 4,661.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,890.92 : 8,825.99 = 3,111.47 : x
  2. Step 2: Convert to fraction form
    5,890.92/8,825.99 = 3,111.47/x
  3. Step 3: Cross multiply
    5,890.92x = 8,825.99 × 3,111.47
  4. Step 4: Simplify right side
    5,890.92x = 27,461,803.11
  5. Step 5: Solve for x
    x = 27,461,803.11/5,890.92
  6. Step 6: Final answer
    x = 4,661.72

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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.