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Finding the Fourth Proportional to 5,076.53, 7,602.97 and 4,936.40

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Solution

The fourth proportional to 5,076.53, 7,602.97 and 4,936.40 is: 7,393.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,076.53 : 7,602.97 = 4,936.40 : x
  2. Step 2: Convert to fraction form
    5,076.53/7,602.97 = 4,936.40/x
  3. Step 3: Cross multiply
    5,076.53x = 7,602.97 × 4,936.40
  4. Step 4: Simplify right side
    5,076.53x = 37,531,276.43
  5. Step 5: Solve for x
    x = 37,531,276.43/5,076.53
  6. Step 6: Final answer
    x = 7,393.10

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Why These Related Problems?

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