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Finding the Fourth Proportional to 3,419.40, 5,124.99 and 1,444.26

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Solution

The fourth proportional to 3,419.40, 5,124.99 and 1,444.26 is: 2,164.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,419.40 : 5,124.99 = 1,444.26 : x
  2. Step 2: Convert to fraction form
    3,419.40/5,124.99 = 1,444.26/x
  3. Step 3: Cross multiply
    3,419.40x = 5,124.99 × 1,444.26
  4. Step 4: Simplify right side
    3,419.40x = 7,401,818.06
  5. Step 5: Solve for x
    x = 7,401,818.06/3,419.40
  6. Step 6: Final answer
    x = 2,164.65

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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.