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Finding the Fourth Proportional to 5,412.16, 7,468.61 and 3,054.25

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Solution

The fourth proportional to 5,412.16, 7,468.61 and 3,054.25 is: 4,214.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,412.16 : 7,468.61 = 3,054.25 : x
  2. Step 2: Convert to fraction form
    5,412.16/7,468.61 = 3,054.25/x
  3. Step 3: Cross multiply
    5,412.16x = 7,468.61 × 3,054.25
  4. Step 4: Simplify right side
    5,412.16x = 22,810,949.48
  5. Step 5: Solve for x
    x = 22,810,949.48/5,412.16
  6. Step 6: Final answer
    x = 4,214.76

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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.