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Finding the Fourth Proportional to 5,661.40, 8,492.10 and 3,911.80

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Solution

The fourth proportional to 5,661.40, 8,492.10 and 3,911.80 is: 5,867.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,661.40 : 8,492.10 = 3,911.80 : x
  2. Step 2: Convert to fraction form
    5,661.40/8,492.10 = 3,911.80/x
  3. Step 3: Cross multiply
    5,661.40x = 8,492.10 × 3,911.80
  4. Step 4: Simplify right side
    5,661.40x = 33,219,396.78
  5. Step 5: Solve for x
    x = 33,219,396.78/5,661.40
  6. Step 6: Final answer
    x = 5,867.70

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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.