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Finding the Fourth Proportional to 4,200.72, 6,303.54 and 2,326.80

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Solution

The fourth proportional to 4,200.72, 6,303.54 and 2,326.80 is: 3,491.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,200.72 : 6,303.54 = 2,326.80 : x
  2. Step 2: Convert to fraction form
    4,200.72/6,303.54 = 2,326.80/x
  3. Step 3: Cross multiply
    4,200.72x = 6,303.54 × 2,326.80
  4. Step 4: Simplify right side
    4,200.72x = 14,667,076.87
  5. Step 5: Solve for x
    x = 14,667,076.87/4,200.72
  6. Step 6: Final answer
    x = 3,491.56

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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.