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Finding the Fourth Proportional to 4,714.91, 7,076.68 and 4,697.27

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Solution

The fourth proportional to 4,714.91, 7,076.68 and 4,697.27 is: 7,050.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,714.91 : 7,076.68 = 4,697.27 : x
  2. Step 2: Convert to fraction form
    4,714.91/7,076.68 = 4,697.27/x
  3. Step 3: Cross multiply
    4,714.91x = 7,076.68 × 4,697.27
  4. Step 4: Simplify right side
    4,714.91x = 33,241,029.54
  5. Step 5: Solve for x
    x = 33,241,029.54/4,714.91
  6. Step 6: Final answer
    x = 7,050.20

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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.