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Finding the Fourth Proportional to 3,381.68, 5,071.19 and 1,405.99

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Solution

The fourth proportional to 3,381.68, 5,071.19 and 1,405.99 is: 2,108.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,381.68 : 5,071.19 = 1,405.99 : x
  2. Step 2: Convert to fraction form
    3,381.68/5,071.19 = 1,405.99/x
  3. Step 3: Cross multiply
    3,381.68x = 5,071.19 × 1,405.99
  4. Step 4: Simplify right side
    3,381.68x = 7,130,042.43
  5. Step 5: Solve for x
    x = 7,130,042.43/3,381.68
  6. Step 6: Final answer
    x = 2,108.43

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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.