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Finding the Fourth Proportional to 4,633, 6,393.54 and 2,770.44

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Solution

The fourth proportional to 4,633, 6,393.54 and 2,770.44 is: 3,823.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,633 : 6,393.54 = 2,770.44 : x
  2. Step 2: Convert to fraction form
    4,633/6,393.54 = 2,770.44/x
  3. Step 3: Cross multiply
    4,633x = 6,393.54 × 2,770.44
  4. Step 4: Simplify right side
    4,633x = 17,712,918.96
  5. Step 5: Solve for x
    x = 17,712,918.96/4,633
  6. Step 6: Final answer
    x = 3,823.21

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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.