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Finding the Fourth Proportional to 4,364.65, 6,555.38 and 3,741.37

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Solution

The fourth proportional to 4,364.65, 6,555.38 and 3,741.37 is: 5,619.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,364.65 : 6,555.38 = 3,741.37 : x
  2. Step 2: Convert to fraction form
    4,364.65/6,555.38 = 3,741.37/x
  3. Step 3: Cross multiply
    4,364.65x = 6,555.38 × 3,741.37
  4. Step 4: Simplify right side
    4,364.65x = 24,526,083.36
  5. Step 5: Solve for x
    x = 24,526,083.36/4,364.65
  6. Step 6: Final answer
    x = 5,619.26

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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.