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Finding the Fourth Proportional to 4,048.98, 5,613.07 and 3,827.24

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Solution

The fourth proportional to 4,048.98, 5,613.07 and 3,827.24 is: 5,305.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,048.98 : 5,613.07 = 3,827.24 : x
  2. Step 2: Convert to fraction form
    4,048.98/5,613.07 = 3,827.24/x
  3. Step 3: Cross multiply
    4,048.98x = 5,613.07 × 3,827.24
  4. Step 4: Simplify right side
    4,048.98x = 21,482,566.03
  5. Step 5: Solve for x
    x = 21,482,566.03/4,048.98
  6. Step 6: Final answer
    x = 5,305.67

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.