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Finding the Fourth Proportional to 5,137.48, 7,704.19 and 1,849.42

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Solution

The fourth proportional to 5,137.48, 7,704.19 and 1,849.42 is: 2,773.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,137.48 : 7,704.19 = 1,849.42 : x
  2. Step 2: Convert to fraction form
    5,137.48/7,704.19 = 1,849.42/x
  3. Step 3: Cross multiply
    5,137.48x = 7,704.19 × 1,849.42
  4. Step 4: Simplify right side
    5,137.48x = 14,248,283.07
  5. Step 5: Solve for x
    x = 14,248,283.07/5,137.48
  6. Step 6: Final answer
    x = 2,773.40

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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.