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Finding the Fourth Proportional to 3,808.69, 5,256.87 and 2,480.08

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Solution

The fourth proportional to 3,808.69, 5,256.87 and 2,480.08 is: 3,423.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,808.69 : 5,256.87 = 2,480.08 : x
  2. Step 2: Convert to fraction form
    3,808.69/5,256.87 = 2,480.08/x
  3. Step 3: Cross multiply
    3,808.69x = 5,256.87 × 2,480.08
  4. Step 4: Simplify right side
    3,808.69x = 13,037,458.15
  5. Step 5: Solve for x
    x = 13,037,458.15/3,808.69
  6. Step 6: Final answer
    x = 3,423.08

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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.