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Finding the Fourth Proportional to 5,376.18, 8,059.41 and 1,911

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Solution

The fourth proportional to 5,376.18, 8,059.41 and 1,911 is: 2,864.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,376.18 : 8,059.41 = 1,911 : x
  2. Step 2: Convert to fraction form
    5,376.18/8,059.41 = 1,911/x
  3. Step 3: Cross multiply
    5,376.18x = 8,059.41 × 1,911
  4. Step 4: Simplify right side
    5,376.18x = 15,401,532.51
  5. Step 5: Solve for x
    x = 15,401,532.51/5,376.18
  6. Step 6: Final answer
    x = 2,864.77

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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.