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Finding the Fourth Proportional to 3,306, 4,564.71 and 2,256.24

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Solution

The fourth proportional to 3,306, 4,564.71 and 2,256.24 is: 3,115.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,306 : 4,564.71 = 2,256.24 : x
  2. Step 2: Convert to fraction form
    3,306/4,564.71 = 2,256.24/x
  3. Step 3: Cross multiply
    3,306x = 4,564.71 × 2,256.24
  4. Step 4: Simplify right side
    3,306x = 10,299,081.29
  5. Step 5: Solve for x
    x = 10,299,081.29/3,306
  6. Step 6: Final answer
    x = 3,115.27

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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.