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Finding the Fourth Proportional to 3,003.74, 4,506.42 and 2,714.57

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Solution

The fourth proportional to 3,003.74, 4,506.42 and 2,714.57 is: 4,072.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,003.74 : 4,506.42 = 2,714.57 : x
  2. Step 2: Convert to fraction form
    3,003.74/4,506.42 = 2,714.57/x
  3. Step 3: Cross multiply
    3,003.74x = 4,506.42 × 2,714.57
  4. Step 4: Simplify right side
    3,003.74x = 12,233,005.94
  5. Step 5: Solve for x
    x = 12,233,005.94/3,003.74
  6. Step 6: Final answer
    x = 4,072.59

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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.