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Finding the Fourth Proportional to 4,915.47, 6,783.31 and 3,424.22

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Solution

The fourth proportional to 4,915.47, 6,783.31 and 3,424.22 is: 4,725.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,915.47 : 6,783.31 = 3,424.22 : x
  2. Step 2: Convert to fraction form
    4,915.47/6,783.31 = 3,424.22/x
  3. Step 3: Cross multiply
    4,915.47x = 6,783.31 × 3,424.22
  4. Step 4: Simplify right side
    4,915.47x = 23,227,494.73
  5. Step 5: Solve for x
    x = 23,227,494.73/4,915.47
  6. Step 6: Final answer
    x = 4,725.39

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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.