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Finding the Fourth Proportional to 4,622.64, 6,930 and 3,157.44

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Solution

The fourth proportional to 4,622.64, 6,930 and 3,157.44 is: 4,733.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,622.64 : 6,930 = 3,157.44 : x
  2. Step 2: Convert to fraction form
    4,622.64/6,930 = 3,157.44/x
  3. Step 3: Cross multiply
    4,622.64x = 6,930 × 3,157.44
  4. Step 4: Simplify right side
    4,622.64x = 21,881,059.20
  5. Step 5: Solve for x
    x = 21,881,059.20/4,622.64
  6. Step 6: Final answer
    x = 4,733.46

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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.