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Finding the Fourth Proportional to 4,523.49, 6,784.29 and 1,235.86

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Solution

The fourth proportional to 4,523.49, 6,784.29 and 1,235.86 is: 1,853.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,523.49 : 6,784.29 = 1,235.86 : x
  2. Step 2: Convert to fraction form
    4,523.49/6,784.29 = 1,235.86/x
  3. Step 3: Cross multiply
    4,523.49x = 6,784.29 × 1,235.86
  4. Step 4: Simplify right side
    4,523.49x = 8,384,415.68
  5. Step 5: Solve for x
    x = 8,384,415.68/4,523.49
  6. Step 6: Final answer
    x = 1,853.53

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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.