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Finding the Fourth Proportional to 5,047.63, 7,572.13 and 1,760.29

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Solution

The fourth proportional to 5,047.63, 7,572.13 and 1,760.29 is: 2,640.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,047.63 : 7,572.13 = 1,760.29 : x
  2. Step 2: Convert to fraction form
    5,047.63/7,572.13 = 1,760.29/x
  3. Step 3: Cross multiply
    5,047.63x = 7,572.13 × 1,760.29
  4. Step 4: Simplify right side
    5,047.63x = 13,329,121.39
  5. Step 5: Solve for x
    x = 13,329,121.39/5,047.63
  6. Step 6: Final answer
    x = 2,640.67

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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.