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Finding the Fourth Proportional to 4,191.53, 6,287.03 and 2,338.48

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Solution

The fourth proportional to 4,191.53, 6,287.03 and 2,338.48 is: 3,507.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,191.53 : 6,287.03 = 2,338.48 : x
  2. Step 2: Convert to fraction form
    4,191.53/6,287.03 = 2,338.48/x
  3. Step 3: Cross multiply
    4,191.53x = 6,287.03 × 2,338.48
  4. Step 4: Simplify right side
    4,191.53x = 14,702,066.50
  5. Step 5: Solve for x
    x = 14,702,066.50/4,191.53
  6. Step 6: Final answer
    x = 3,507.57

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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.