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Finding the Fourth Proportional to 3,551.72, 4,902.71 and 3,052.35

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Solution

The fourth proportional to 3,551.72, 4,902.71 and 3,052.35 is: 4,213.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,551.72 : 4,902.71 = 3,052.35 : x
  2. Step 2: Convert to fraction form
    3,551.72/4,902.71 = 3,052.35/x
  3. Step 3: Cross multiply
    3,551.72x = 4,902.71 × 3,052.35
  4. Step 4: Simplify right side
    3,551.72x = 14,964,771.61
  5. Step 5: Solve for x
    x = 14,964,771.61/3,551.72
  6. Step 6: Final answer
    x = 4,213.39

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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.