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Finding the Fourth Proportional to 5,774.60, 8,661.90 and 3,441.80

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Solution

The fourth proportional to 5,774.60, 8,661.90 and 3,441.80 is: 5,162.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,774.60 : 8,661.90 = 3,441.80 : x
  2. Step 2: Convert to fraction form
    5,774.60/8,661.90 = 3,441.80/x
  3. Step 3: Cross multiply
    5,774.60x = 8,661.90 × 3,441.80
  4. Step 4: Simplify right side
    5,774.60x = 29,812,527.42
  5. Step 5: Solve for x
    x = 29,812,527.42/5,774.60
  6. Step 6: Final answer
    x = 5,162.70

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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.