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Finding the Fourth Proportional to 5,475.84, 8,211.96 and 2,188.08

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Solution

The fourth proportional to 5,475.84, 8,211.96 and 2,188.08 is: 3,281.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,475.84 : 8,211.96 = 2,188.08 : x
  2. Step 2: Convert to fraction form
    5,475.84/8,211.96 = 2,188.08/x
  3. Step 3: Cross multiply
    5,475.84x = 8,211.96 × 2,188.08
  4. Step 4: Simplify right side
    5,475.84x = 17,968,425.44
  5. Step 5: Solve for x
    x = 17,968,425.44/5,475.84
  6. Step 6: Final answer
    x = 3,281.40

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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.