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Finding the Fourth Proportional to 5,301.86, 7,956.50 and 2,184.67

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Solution

The fourth proportional to 5,301.86, 7,956.50 and 2,184.67 is: 3,278.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,301.86 : 7,956.50 = 2,184.67 : x
  2. Step 2: Convert to fraction form
    5,301.86/7,956.50 = 2,184.67/x
  3. Step 3: Cross multiply
    5,301.86x = 7,956.50 × 2,184.67
  4. Step 4: Simplify right side
    5,301.86x = 17,382,325.88
  5. Step 5: Solve for x
    x = 17,382,325.88/5,301.86
  6. Step 6: Final answer
    x = 3,278.54

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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.