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Finding the Fourth Proportional to 3,909.54, 5,864.19 and 1,443.36

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Solution

The fourth proportional to 3,909.54, 5,864.19 and 1,443.36 is: 2,165.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,909.54 : 5,864.19 = 1,443.36 : x
  2. Step 2: Convert to fraction form
    3,909.54/5,864.19 = 1,443.36/x
  3. Step 3: Cross multiply
    3,909.54x = 5,864.19 × 1,443.36
  4. Step 4: Simplify right side
    3,909.54x = 8,464,137.28
  5. Step 5: Solve for x
    x = 8,464,137.28/3,909.54
  6. Step 6: Final answer
    x = 2,165.00

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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.