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Finding the Fourth Proportional to 4,206.33, 6,304.03 and 2,256.26

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Solution

The fourth proportional to 4,206.33, 6,304.03 and 2,256.26 is: 3,381.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,206.33 : 6,304.03 = 2,256.26 : x
  2. Step 2: Convert to fraction form
    4,206.33/6,304.03 = 2,256.26/x
  3. Step 3: Cross multiply
    4,206.33x = 6,304.03 × 2,256.26
  4. Step 4: Simplify right side
    4,206.33x = 14,223,493.57
  5. Step 5: Solve for x
    x = 14,223,493.57/4,206.33
  6. Step 6: Final answer
    x = 3,381.45

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