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Finding the Fourth Proportional to 6,354.94, 8,770.16 and 3,522.25

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Solution

The fourth proportional to 6,354.94, 8,770.16 and 3,522.25 is: 4,860.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,354.94 : 8,770.16 = 3,522.25 : x
  2. Step 2: Convert to fraction form
    6,354.94/8,770.16 = 3,522.25/x
  3. Step 3: Cross multiply
    6,354.94x = 8,770.16 × 3,522.25
  4. Step 4: Simplify right side
    6,354.94x = 30,890,696.06
  5. Step 5: Solve for x
    x = 30,890,696.06/6,354.94
  6. Step 6: Final answer
    x = 4,860.89

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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.