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Finding the Fourth Proportional to 3,981.96, 5,495 and 2,213.52

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Solution

The fourth proportional to 3,981.96, 5,495 and 2,213.52 is: 3,054.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,981.96 : 5,495 = 2,213.52 : x
  2. Step 2: Convert to fraction form
    3,981.96/5,495 = 2,213.52/x
  3. Step 3: Cross multiply
    3,981.96x = 5,495 × 2,213.52
  4. Step 4: Simplify right side
    3,981.96x = 12,163,292.40
  5. Step 5: Solve for x
    x = 12,163,292.40/3,981.96
  6. Step 6: Final answer
    x = 3,054.60

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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.