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Finding the Fourth Proportional to 5,685.60, 8,528.88 and 2,222

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Solution

The fourth proportional to 5,685.60, 8,528.88 and 2,222 is: 3,333.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,685.60 : 8,528.88 = 2,222 : x
  2. Step 2: Convert to fraction form
    5,685.60/8,528.88 = 2,222/x
  3. Step 3: Cross multiply
    5,685.60x = 8,528.88 × 2,222
  4. Step 4: Simplify right side
    5,685.60x = 18,951,171.36
  5. Step 5: Solve for x
    x = 18,951,171.36/5,685.60
  6. Step 6: Final answer
    x = 3,333.19

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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.