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Finding the Fourth Proportional to 6,894.64, 10,344.30 and 3,001.60

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Solution

The fourth proportional to 6,894.64, 10,344.30 and 3,001.60 is: 4,503.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,894.64 : 10,344.30 = 3,001.60 : x
  2. Step 2: Convert to fraction form
    6,894.64/10,344.30 = 3,001.60/x
  3. Step 3: Cross multiply
    6,894.64x = 10,344.30 × 3,001.60
  4. Step 4: Simplify right side
    6,894.64x = 31,049,450.88
  5. Step 5: Solve for x
    x = 31,049,450.88/6,894.64
  6. Step 6: Final answer
    x = 4,503.42

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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.