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Finding the Fourth Proportional to 2,940.99, 4,390.47 and 2,838.48

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Solution

The fourth proportional to 2,940.99, 4,390.47 and 2,838.48 is: 4,237.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,940.99 : 4,390.47 = 2,838.48 : x
  2. Step 2: Convert to fraction form
    2,940.99/4,390.47 = 2,838.48/x
  3. Step 3: Cross multiply
    2,940.99x = 4,390.47 × 2,838.48
  4. Step 4: Simplify right side
    2,940.99x = 12,462,261.29
  5. Step 5: Solve for x
    x = 12,462,261.29/2,940.99
  6. Step 6: Final answer
    x = 4,237.44

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.