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Finding the Fourth Proportional to 5,188.80, 7,799.40 and 5,091.60

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Solution

The fourth proportional to 5,188.80, 7,799.40 and 5,091.60 is: 7,653.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,188.80 : 7,799.40 = 5,091.60 : x
  2. Step 2: Convert to fraction form
    5,188.80/7,799.40 = 5,091.60/x
  3. Step 3: Cross multiply
    5,188.80x = 7,799.40 × 5,091.60
  4. Step 4: Simplify right side
    5,188.80x = 39,711,425.04
  5. Step 5: Solve for x
    x = 39,711,425.04/5,188.80
  6. Step 6: Final answer
    x = 7,653.30

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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.