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Finding the Fourth Proportional to 5,812.14, 8,718.93 and 1,919.10

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Solution

The fourth proportional to 5,812.14, 8,718.93 and 1,919.10 is: 2,878.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,812.14 : 8,718.93 = 1,919.10 : x
  2. Step 2: Convert to fraction form
    5,812.14/8,718.93 = 1,919.10/x
  3. Step 3: Cross multiply
    5,812.14x = 8,718.93 × 1,919.10
  4. Step 4: Simplify right side
    5,812.14x = 16,732,498.56
  5. Step 5: Solve for x
    x = 16,732,498.56/5,812.14
  6. Step 6: Final answer
    x = 2,878.89

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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.