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Finding the Fourth Proportional to 4,714.17, 7,072.88 and 2,957.06

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Solution

The fourth proportional to 4,714.17, 7,072.88 and 2,957.06 is: 4,436.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,714.17 : 7,072.88 = 2,957.06 : x
  2. Step 2: Convert to fraction form
    4,714.17/7,072.88 = 2,957.06/x
  3. Step 3: Cross multiply
    4,714.17x = 7,072.88 × 2,957.06
  4. Step 4: Simplify right side
    4,714.17x = 20,914,880.38
  5. Step 5: Solve for x
    x = 20,914,880.38/4,714.17
  6. Step 6: Final answer
    x = 4,436.60

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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.