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Finding the Fourth Proportional to 5,827.88, 8,045.24 and 3,733.24

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Solution

The fourth proportional to 5,827.88, 8,045.24 and 3,733.24 is: 5,153.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,827.88 : 8,045.24 = 3,733.24 : x
  2. Step 2: Convert to fraction form
    5,827.88/8,045.24 = 3,733.24/x
  3. Step 3: Cross multiply
    5,827.88x = 8,045.24 × 3,733.24
  4. Step 4: Simplify right side
    5,827.88x = 30,034,811.78
  5. Step 5: Solve for x
    x = 30,034,811.78/5,827.88
  6. Step 6: Final answer
    x = 5,153.64

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.