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Finding the Fourth Proportional to 5,357.36, 8,034.42 and 3,165.50

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Solution

The fourth proportional to 5,357.36, 8,034.42 and 3,165.50 is: 4,747.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,357.36 : 8,034.42 = 3,165.50 : x
  2. Step 2: Convert to fraction form
    5,357.36/8,034.42 = 3,165.50/x
  3. Step 3: Cross multiply
    5,357.36x = 8,034.42 × 3,165.50
  4. Step 4: Simplify right side
    5,357.36x = 25,432,956.51
  5. Step 5: Solve for x
    x = 25,432,956.51/5,357.36
  6. Step 6: Final answer
    x = 4,747.29

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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.