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Finding the Fourth Proportional to 4,714.78, 7,072.26 and 1,252.06

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Solution

The fourth proportional to 4,714.78, 7,072.26 and 1,252.06 is: 1,878.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,714.78 : 7,072.26 = 1,252.06 : x
  2. Step 2: Convert to fraction form
    4,714.78/7,072.26 = 1,252.06/x
  3. Step 3: Cross multiply
    4,714.78x = 7,072.26 × 1,252.06
  4. Step 4: Simplify right side
    4,714.78x = 8,854,893.86
  5. Step 5: Solve for x
    x = 8,854,893.86/4,714.78
  6. Step 6: Final answer
    x = 1,878.11

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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.