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Finding the Fourth Proportional to 5,570.50, 7,687.18 and 3,052.60

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Solution

The fourth proportional to 5,570.50, 7,687.18 and 3,052.60 is: 4,212.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,570.50 : 7,687.18 = 3,052.60 : x
  2. Step 2: Convert to fraction form
    5,570.50/7,687.18 = 3,052.60/x
  3. Step 3: Cross multiply
    5,570.50x = 7,687.18 × 3,052.60
  4. Step 4: Simplify right side
    5,570.50x = 23,465,904.92
  5. Step 5: Solve for x
    x = 23,465,904.92/5,570.50
  6. Step 6: Final answer
    x = 4,212.53

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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.