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Finding the Fourth Proportional to 5,790.12, 7,981.11 and 4,108.02

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Solution

The fourth proportional to 5,790.12, 7,981.11 and 4,108.02 is: 5,662.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,790.12 : 7,981.11 = 4,108.02 : x
  2. Step 2: Convert to fraction form
    5,790.12/7,981.11 = 4,108.02/x
  3. Step 3: Cross multiply
    5,790.12x = 7,981.11 × 4,108.02
  4. Step 4: Simplify right side
    5,790.12x = 32,786,559.50
  5. Step 5: Solve for x
    x = 32,786,559.50/5,790.12
  6. Step 6: Final answer
    x = 5,662.50

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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.