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Finding the Fourth Proportional to 5,630.63, 7,770.26 and 3,146.63

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Solution

The fourth proportional to 5,630.63, 7,770.26 and 3,146.63 is: 4,342.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,630.63 : 7,770.26 = 3,146.63 : x
  2. Step 2: Convert to fraction form
    5,630.63/7,770.26 = 3,146.63/x
  3. Step 3: Cross multiply
    5,630.63x = 7,770.26 × 3,146.63
  4. Step 4: Simplify right side
    5,630.63x = 24,450,102.24
  5. Step 5: Solve for x
    x = 24,450,102.24/5,630.63
  6. Step 6: Final answer
    x = 4,342.34

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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.