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Finding the Fourth Proportional to 3,204.64, 4,392.45 and 3,190.63

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Solution

The fourth proportional to 3,204.64, 4,392.45 and 3,190.63 is: 4,373.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,204.64 : 4,392.45 = 3,190.63 : x
  2. Step 2: Convert to fraction form
    3,204.64/4,392.45 = 3,190.63/x
  3. Step 3: Cross multiply
    3,204.64x = 4,392.45 × 3,190.63
  4. Step 4: Simplify right side
    3,204.64x = 14,014,682.79
  5. Step 5: Solve for x
    x = 14,014,682.79/3,204.64
  6. Step 6: Final answer
    x = 4,373.25

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.