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Finding the Fourth Proportional to 3,904.36, 5,388 and 2,136

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Solution

The fourth proportional to 3,904.36, 5,388 and 2,136 is: 2,947.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,904.36 : 5,388 = 2,136 : x
  2. Step 2: Convert to fraction form
    3,904.36/5,388 = 2,136/x
  3. Step 3: Cross multiply
    3,904.36x = 5,388 × 2,136
  4. Step 4: Simplify right side
    3,904.36x = 11,508,768
  5. Step 5: Solve for x
    x = 11,508,768/3,904.36
  6. Step 6: Final answer
    x = 2,947.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.