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Finding the Fourth Proportional to 4,063.36, 5,608.48 and 2,296

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Solution

The fourth proportional to 4,063.36, 5,608.48 and 2,296 is: 3,169.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,063.36 : 5,608.48 = 2,296 : x
  2. Step 2: Convert to fraction form
    4,063.36/5,608.48 = 2,296/x
  3. Step 3: Cross multiply
    4,063.36x = 5,608.48 × 2,296
  4. Step 4: Simplify right side
    4,063.36x = 12,877,070.08
  5. Step 5: Solve for x
    x = 12,877,070.08/4,063.36
  6. Step 6: Final answer
    x = 3,169.07

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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.