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Finding the Fourth Proportional to 5,305.64, 7,958.04 and 2,184.80

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Solution

The fourth proportional to 5,305.64, 7,958.04 and 2,184.80 is: 3,277.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,305.64 : 7,958.04 = 2,184.80 : x
  2. Step 2: Convert to fraction form
    5,305.64/7,958.04 = 2,184.80/x
  3. Step 3: Cross multiply
    5,305.64x = 7,958.04 × 2,184.80
  4. Step 4: Simplify right side
    5,305.64x = 17,386,725.79
  5. Step 5: Solve for x
    x = 17,386,725.79/5,305.64
  6. Step 6: Final answer
    x = 3,277.03

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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.