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Finding the Fourth Proportional to 4,714.92, 7,072.74 and 1,252.08

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Solution

The fourth proportional to 4,714.92, 7,072.74 and 1,252.08 is: 1,878.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,714.92 : 7,072.74 = 1,252.08 : x
  2. Step 2: Convert to fraction form
    4,714.92/7,072.74 = 1,252.08/x
  3. Step 3: Cross multiply
    4,714.92x = 7,072.74 × 1,252.08
  4. Step 4: Simplify right side
    4,714.92x = 8,855,636.30
  5. Step 5: Solve for x
    x = 8,855,636.30/4,714.92
  6. Step 6: Final answer
    x = 1,878.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.