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Finding the Fourth Proportional to 5,190, 7,162.86 and 3,425.28

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Solution

The fourth proportional to 5,190, 7,162.86 and 3,425.28 is: 4,727.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,190 : 7,162.86 = 3,425.28 : x
  2. Step 2: Convert to fraction form
    5,190/7,162.86 = 3,425.28/x
  3. Step 3: Cross multiply
    5,190x = 7,162.86 × 3,425.28
  4. Step 4: Simplify right side
    5,190x = 24,534,801.10
  5. Step 5: Solve for x
    x = 24,534,801.10/5,190
  6. Step 6: Final answer
    x = 4,727.32

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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.