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Finding the Fourth Proportional to 3,410.51, 5,116.43 and 1,330.43

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Solution

The fourth proportional to 3,410.51, 5,116.43 and 1,330.43 is: 1,995.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,410.51 : 5,116.43 = 1,330.43 : x
  2. Step 2: Convert to fraction form
    3,410.51/5,116.43 = 1,330.43/x
  3. Step 3: Cross multiply
    3,410.51x = 5,116.43 × 1,330.43
  4. Step 4: Simplify right side
    3,410.51x = 6,807,045.31
  5. Step 5: Solve for x
    x = 6,807,045.31/3,410.51
  6. Step 6: Final answer
    x = 1,995.90

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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.