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Finding the Fourth Proportional to 4,357.42, 6,538.50 and 1,892.23

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Solution

The fourth proportional to 4,357.42, 6,538.50 and 1,892.23 is: 2,839.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,357.42 : 6,538.50 = 1,892.23 : x
  2. Step 2: Convert to fraction form
    4,357.42/6,538.50 = 1,892.23/x
  3. Step 3: Cross multiply
    4,357.42x = 6,538.50 × 1,892.23
  4. Step 4: Simplify right side
    4,357.42x = 12,372,329.51
  5. Step 5: Solve for x
    x = 12,372,329.51/4,357.42
  6. Step 6: Final answer
    x = 2,839.37

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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.