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Finding the Fourth Proportional to 3,808.64, 5,256.39 and 2,317.07

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Solution

The fourth proportional to 3,808.64, 5,256.39 and 2,317.07 is: 3,197.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,808.64 : 5,256.39 = 2,317.07 : x
  2. Step 2: Convert to fraction form
    3,808.64/5,256.39 = 2,317.07/x
  3. Step 3: Cross multiply
    3,808.64x = 5,256.39 × 2,317.07
  4. Step 4: Simplify right side
    3,808.64x = 12,179,423.58
  5. Step 5: Solve for x
    x = 12,179,423.58/3,808.64
  6. Step 6: Final answer
    x = 3,197.84

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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.