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Finding the Fourth Proportional to 5,406.19, 7,456.54 and 3,728.12

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Solution

The fourth proportional to 5,406.19, 7,456.54 and 3,728.12 is: 5,142.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,406.19 : 7,456.54 = 3,728.12 : x
  2. Step 2: Convert to fraction form
    5,406.19/7,456.54 = 3,728.12/x
  3. Step 3: Cross multiply
    5,406.19x = 7,456.54 × 3,728.12
  4. Step 4: Simplify right side
    5,406.19x = 27,798,857.26
  5. Step 5: Solve for x
    x = 27,798,857.26/5,406.19
  6. Step 6: Final answer
    x = 5,142.05

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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.