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Finding the Fourth Proportional to 3,792.95, 5,234.28 and 2,300.48

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Solution

The fourth proportional to 3,792.95, 5,234.28 and 2,300.48 is: 3,174.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,792.95 : 5,234.28 = 2,300.48 : x
  2. Step 2: Convert to fraction form
    3,792.95/5,234.28 = 2,300.48/x
  3. Step 3: Cross multiply
    3,792.95x = 5,234.28 × 2,300.48
  4. Step 4: Simplify right side
    3,792.95x = 12,041,356.45
  5. Step 5: Solve for x
    x = 12,041,356.45/3,792.95
  6. Step 6: Final answer
    x = 3,174.67

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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.