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Finding the Fourth Proportional to 5,704.74, 8,554.95 and 2,419.38

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Solution

The fourth proportional to 5,704.74, 8,554.95 and 2,419.38 is: 3,628.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,704.74 : 8,554.95 = 2,419.38 : x
  2. Step 2: Convert to fraction form
    5,704.74/8,554.95 = 2,419.38/x
  3. Step 3: Cross multiply
    5,704.74x = 8,554.95 × 2,419.38
  4. Step 4: Simplify right side
    5,704.74x = 20,697,674.93
  5. Step 5: Solve for x
    x = 20,697,674.93/5,704.74
  6. Step 6: Final answer
    x = 3,628.15

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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.