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Finding the Fourth Proportional to 3,375.63, 5,065.70 and 1,184.37

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Solution

The fourth proportional to 3,375.63, 5,065.70 and 1,184.37 is: 1,777.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,375.63 : 5,065.70 = 1,184.37 : x
  2. Step 2: Convert to fraction form
    3,375.63/5,065.70 = 1,184.37/x
  3. Step 3: Cross multiply
    3,375.63x = 5,065.70 × 1,184.37
  4. Step 4: Simplify right side
    3,375.63x = 5,999,657.19
  5. Step 5: Solve for x
    x = 5,999,657.19/3,375.63
  6. Step 6: Final answer
    x = 1,777.34

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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.