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Finding the Fourth Proportional to 3,359.83, 5,038.16 and 1,019.23

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Solution

The fourth proportional to 3,359.83, 5,038.16 and 1,019.23 is: 1,528.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,359.83 : 5,038.16 = 1,019.23 : x
  2. Step 2: Convert to fraction form
    3,359.83/5,038.16 = 1,019.23/x
  3. Step 3: Cross multiply
    3,359.83x = 5,038.16 × 1,019.23
  4. Step 4: Simplify right side
    3,359.83x = 5,135,043.82
  5. Step 5: Solve for x
    x = 5,135,043.82/3,359.83
  6. Step 6: Final answer
    x = 1,528.36

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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.