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Finding the Fourth Proportional to 4,106, 5,666.28 and 2,243

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Solution

The fourth proportional to 4,106, 5,666.28 and 2,243 is: 3,095.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,106 : 5,666.28 = 2,243 : x
  2. Step 2: Convert to fraction form
    4,106/5,666.28 = 2,243/x
  3. Step 3: Cross multiply
    4,106x = 5,666.28 × 2,243
  4. Step 4: Simplify right side
    4,106x = 12,709,466.04
  5. Step 5: Solve for x
    x = 12,709,466.04/4,106
  6. Step 6: Final answer
    x = 3,095.34

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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.