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Finding the Fourth Proportional to 3,594.64, 5,390.04 and 2,305.36

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Solution

The fourth proportional to 3,594.64, 5,390.04 and 2,305.36 is: 3,456.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,594.64 : 5,390.04 = 2,305.36 : x
  2. Step 2: Convert to fraction form
    3,594.64/5,390.04 = 2,305.36/x
  3. Step 3: Cross multiply
    3,594.64x = 5,390.04 × 2,305.36
  4. Step 4: Simplify right side
    3,594.64x = 12,425,982.61
  5. Step 5: Solve for x
    x = 12,425,982.61/3,594.64
  6. Step 6: Final answer
    x = 3,456.81

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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.