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Finding the Fourth Proportional to 5,302.20, 7,956.03 and 2,184.51

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Solution

The fourth proportional to 5,302.20, 7,956.03 and 2,184.51 is: 3,277.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,302.20 : 7,956.03 = 2,184.51 : x
  2. Step 2: Convert to fraction form
    5,302.20/7,956.03 = 2,184.51/x
  3. Step 3: Cross multiply
    5,302.20x = 7,956.03 × 2,184.51
  4. Step 4: Simplify right side
    5,302.20x = 17,380,027.10
  5. Step 5: Solve for x
    x = 17,380,027.10/5,302.20
  6. Step 6: Final answer
    x = 3,277.89

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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.