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Finding the Fourth Proportional to 3,509.84, 5,260.19 and 1,427.39

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Solution

The fourth proportional to 3,509.84, 5,260.19 and 1,427.39 is: 2,139.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,509.84 : 5,260.19 = 1,427.39 : x
  2. Step 2: Convert to fraction form
    3,509.84/5,260.19 = 1,427.39/x
  3. Step 3: Cross multiply
    3,509.84x = 5,260.19 × 1,427.39
  4. Step 4: Simplify right side
    3,509.84x = 7,508,309.17
  5. Step 5: Solve for x
    x = 7,508,309.17/3,509.84
  6. Step 6: Final answer
    x = 2,139.22

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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.