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Finding the Fourth Proportional to 4,704.14, 7,057.30 and 2,514.98

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Solution

The fourth proportional to 4,704.14, 7,057.30 and 2,514.98 is: 3,773.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,704.14 : 7,057.30 = 2,514.98 : x
  2. Step 2: Convert to fraction form
    4,704.14/7,057.30 = 2,514.98/x
  3. Step 3: Cross multiply
    4,704.14x = 7,057.30 × 2,514.98
  4. Step 4: Simplify right side
    4,704.14x = 17,748,968.35
  5. Step 5: Solve for x
    x = 17,748,968.35/4,704.14
  6. Step 6: Final answer
    x = 3,773.05

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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.