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Finding the Fourth Proportional to 5,302.06, 7,955.72 and 2,183.06

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Solution

The fourth proportional to 5,302.06, 7,955.72 and 2,183.06 is: 3,275.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,302.06 : 7,955.72 = 2,183.06 : x
  2. Step 2: Convert to fraction form
    5,302.06/7,955.72 = 2,183.06/x
  3. Step 3: Cross multiply
    5,302.06x = 7,955.72 × 2,183.06
  4. Step 4: Simplify right side
    5,302.06x = 17,367,814.10
  5. Step 5: Solve for x
    x = 17,367,814.10/5,302.06
  6. Step 6: Final answer
    x = 3,275.67

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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.