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Finding the Fourth Proportional to 3,531.78, 4,872.06 and 2,412.54

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Solution

The fourth proportional to 3,531.78, 4,872.06 and 2,412.54 is: 3,328.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,531.78 : 4,872.06 = 2,412.54 : x
  2. Step 2: Convert to fraction form
    3,531.78/4,872.06 = 2,412.54/x
  3. Step 3: Cross multiply
    3,531.78x = 4,872.06 × 2,412.54
  4. Step 4: Simplify right side
    3,531.78x = 11,754,039.63
  5. Step 5: Solve for x
    x = 11,754,039.63/3,531.78
  6. Step 6: Final answer
    x = 3,328.08

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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.