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Finding the Fourth Proportional to 4,199.69, 6,300.44 and 1,425.84

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Solution

The fourth proportional to 4,199.69, 6,300.44 and 1,425.84 is: 2,139.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,199.69 : 6,300.44 = 1,425.84 : x
  2. Step 2: Convert to fraction form
    4,199.69/6,300.44 = 1,425.84/x
  3. Step 3: Cross multiply
    4,199.69x = 6,300.44 × 1,425.84
  4. Step 4: Simplify right side
    4,199.69x = 8,983,412.24
  5. Step 5: Solve for x
    x = 8,983,412.24/4,199.69
  6. Step 6: Final answer
    x = 2,139.07

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.