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Finding the Fourth Proportional to 5,412.24, 7,468.74 and 3,054.60

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Solution

The fourth proportional to 5,412.24, 7,468.74 and 3,054.60 is: 4,215.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,412.24 : 7,468.74 = 3,054.60 : x
  2. Step 2: Convert to fraction form
    5,412.24/7,468.74 = 3,054.60/x
  3. Step 3: Cross multiply
    5,412.24x = 7,468.74 × 3,054.60
  4. Step 4: Simplify right side
    5,412.24x = 22,814,013.20
  5. Step 5: Solve for x
    x = 22,814,013.20/5,412.24
  6. Step 6: Final answer
    x = 4,215.26

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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.