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Finding the Fourth Proportional to 4,714.66, 7,072.90 and 1,792.73

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Solution

The fourth proportional to 4,714.66, 7,072.90 and 1,792.73 is: 2,689.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,714.66 : 7,072.90 = 1,792.73 : x
  2. Step 2: Convert to fraction form
    4,714.66/7,072.90 = 1,792.73/x
  3. Step 3: Cross multiply
    4,714.66x = 7,072.90 × 1,792.73
  4. Step 4: Simplify right side
    4,714.66x = 12,679,808.74
  5. Step 5: Solve for x
    x = 12,679,808.74/4,714.66
  6. Step 6: Final answer
    x = 2,689.44

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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.