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Finding the Fourth Proportional to 3,968.84, 5,476.76 and 2,200.34

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Solution

The fourth proportional to 3,968.84, 5,476.76 and 2,200.34 is: 3,036.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,968.84 : 5,476.76 = 2,200.34 : x
  2. Step 2: Convert to fraction form
    3,968.84/5,476.76 = 2,200.34/x
  3. Step 3: Cross multiply
    3,968.84x = 5,476.76 × 2,200.34
  4. Step 4: Simplify right side
    3,968.84x = 12,050,734.10
  5. Step 5: Solve for x
    x = 12,050,734.10/3,968.84
  6. Step 6: Final answer
    x = 3,036.34

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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.