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Finding the Fourth Proportional to 3,076.10, 4,613.69 and 996.29

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Solution

The fourth proportional to 3,076.10, 4,613.69 and 996.29 is: 1,494.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,076.10 : 4,613.69 = 996.29 : x
  2. Step 2: Convert to fraction form
    3,076.10/4,613.69 = 996.29/x
  3. Step 3: Cross multiply
    3,076.10x = 4,613.69 × 996.29
  4. Step 4: Simplify right side
    3,076.10x = 4,596,552.63
  5. Step 5: Solve for x
    x = 4,596,552.63/3,076.10
  6. Step 6: Final answer
    x = 1,494.28

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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.