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Finding the Fourth Proportional to 5,274.57, 7,278.36 and 3,036.01

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Solution

The fourth proportional to 5,274.57, 7,278.36 and 3,036.01 is: 4,189.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,274.57 : 7,278.36 = 3,036.01 : x
  2. Step 2: Convert to fraction form
    5,274.57/7,278.36 = 3,036.01/x
  3. Step 3: Cross multiply
    5,274.57x = 7,278.36 × 3,036.01
  4. Step 4: Simplify right side
    5,274.57x = 22,097,173.74
  5. Step 5: Solve for x
    x = 22,097,173.74/5,274.57
  6. Step 6: Final answer
    x = 4,189.38

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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.