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Finding the Fourth Proportional to 5,470.23, 7,542.42 and 3,790.34

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Solution

The fourth proportional to 5,470.23, 7,542.42 and 3,790.34 is: 5,226.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,470.23 : 7,542.42 = 3,790.34 : x
  2. Step 2: Convert to fraction form
    5,470.23/7,542.42 = 3,790.34/x
  3. Step 3: Cross multiply
    5,470.23x = 7,542.42 × 3,790.34
  4. Step 4: Simplify right side
    5,470.23x = 28,588,355.01
  5. Step 5: Solve for x
    x = 28,588,355.01/5,470.23
  6. Step 6: Final answer
    x = 5,226.17

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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.