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Finding the Fourth Proportional to 3,808.83, 5,713.38 and 1,310.00

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Solution

The fourth proportional to 3,808.83, 5,713.38 and 1,310.00 is: 1,965.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,808.83 : 5,713.38 = 1,310.00 : x
  2. Step 2: Convert to fraction form
    3,808.83/5,713.38 = 1,310.00/x
  3. Step 3: Cross multiply
    3,808.83x = 5,713.38 × 1,310.00
  4. Step 4: Simplify right side
    3,808.83x = 7,484,493.71
  5. Step 5: Solve for x
    x = 7,484,493.71/3,808.83
  6. Step 6: Final answer
    x = 1,965.04

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.