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Finding the Fourth Proportional to 4,661.42, 6,997.59 and 2,714.99

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Solution

The fourth proportional to 4,661.42, 6,997.59 and 2,714.99 is: 4,075.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,661.42 : 6,997.59 = 2,714.99 : x
  2. Step 2: Convert to fraction form
    4,661.42/6,997.59 = 2,714.99/x
  3. Step 3: Cross multiply
    4,661.42x = 6,997.59 × 2,714.99
  4. Step 4: Simplify right side
    4,661.42x = 18,998,351.89
  5. Step 5: Solve for x
    x = 18,998,351.89/4,661.42
  6. Step 6: Final answer
    x = 4,075.66

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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.