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Finding the Fourth Proportional to 3,827.94, 5,742.72 and 1,363.52

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Solution

The fourth proportional to 3,827.94, 5,742.72 and 1,363.52 is: 2,045.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,827.94 : 5,742.72 = 1,363.52 : x
  2. Step 2: Convert to fraction form
    3,827.94/5,742.72 = 1,363.52/x
  3. Step 3: Cross multiply
    3,827.94x = 5,742.72 × 1,363.52
  4. Step 4: Simplify right side
    3,827.94x = 7,830,284.86
  5. Step 5: Solve for x
    x = 7,830,284.86/3,827.94
  6. Step 6: Final answer
    x = 2,045.56

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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.