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Finding the Fourth Proportional to 4,095.84, 6,138.94 and 1,899.94

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Solution

The fourth proportional to 4,095.84, 6,138.94 and 1,899.94 is: 2,847.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,095.84 : 6,138.94 = 1,899.94 : x
  2. Step 2: Convert to fraction form
    4,095.84/6,138.94 = 1,899.94/x
  3. Step 3: Cross multiply
    4,095.84x = 6,138.94 × 1,899.94
  4. Step 4: Simplify right side
    4,095.84x = 11,663,617.66
  5. Step 5: Solve for x
    x = 11,663,617.66/4,095.84
  6. Step 6: Final answer
    x = 2,847.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.