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Finding the Fourth Proportional to 3,808.02, 5,255.40 and 2,316.30

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Solution

The fourth proportional to 3,808.02, 5,255.40 and 2,316.30 is: 3,196.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,808.02 : 5,255.40 = 2,316.30 : x
  2. Step 2: Convert to fraction form
    3,808.02/5,255.40 = 2,316.30/x
  3. Step 3: Cross multiply
    3,808.02x = 5,255.40 × 2,316.30
  4. Step 4: Simplify right side
    3,808.02x = 12,173,083.02
  5. Step 5: Solve for x
    x = 12,173,083.02/3,808.02
  6. Step 6: Final answer
    x = 3,196.70

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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.