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Finding the Fourth Proportional to 5,635.95, 7,770.98 and 4,515.99

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Solution

The fourth proportional to 5,635.95, 7,770.98 and 4,515.99 is: 6,226.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,635.95 : 7,770.98 = 4,515.99 : x
  2. Step 2: Convert to fraction form
    5,635.95/7,770.98 = 4,515.99/x
  3. Step 3: Cross multiply
    5,635.95x = 7,770.98 × 4,515.99
  4. Step 4: Simplify right side
    5,635.95x = 35,093,645.39
  5. Step 5: Solve for x
    x = 35,093,645.39/5,635.95
  6. Step 6: Final answer
    x = 6,226.75

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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.