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Finding the Fourth Proportional to 4,926.78, 6,801.46 and 3,805.20

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Solution

The fourth proportional to 4,926.78, 6,801.46 and 3,805.20 is: 5,253.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,926.78 : 6,801.46 = 3,805.20 : x
  2. Step 2: Convert to fraction form
    4,926.78/6,801.46 = 3,805.20/x
  3. Step 3: Cross multiply
    4,926.78x = 6,801.46 × 3,805.20
  4. Step 4: Simplify right side
    4,926.78x = 25,880,915.59
  5. Step 5: Solve for x
    x = 25,880,915.59/4,926.78
  6. Step 6: Final answer
    x = 5,253.11

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1.5x scale

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.