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Finding the Fourth Proportional to 5,450.63, 7,526.11 and 4,189.70

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Solution

The fourth proportional to 5,450.63, 7,526.11 and 4,189.70 is: 5,785.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,450.63 : 7,526.11 = 4,189.70 : x
  2. Step 2: Convert to fraction form
    5,450.63/7,526.11 = 4,189.70/x
  3. Step 3: Cross multiply
    5,450.63x = 7,526.11 × 4,189.70
  4. Step 4: Simplify right side
    5,450.63x = 31,532,143.07
  5. Step 5: Solve for x
    x = 31,532,143.07/5,450.63
  6. Step 6: Final answer
    x = 5,785.05

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.