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Finding the Fourth Proportional to 5,412.98, 7,469.78 and 3,055.16

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Solution

The fourth proportional to 5,412.98, 7,469.78 and 3,055.16 is: 4,216.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,412.98 : 7,469.78 = 3,055.16 : x
  2. Step 2: Convert to fraction form
    5,412.98/7,469.78 = 3,055.16/x
  3. Step 3: Cross multiply
    5,412.98x = 7,469.78 × 3,055.16
  4. Step 4: Simplify right side
    5,412.98x = 22,821,373.06
  5. Step 5: Solve for x
    x = 22,821,373.06/5,412.98
  6. Step 6: Final answer
    x = 4,216.05

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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.