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Finding the Fourth Proportional to 5,412.06, 7,468.65 and 3,054.15

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Solution

The fourth proportional to 5,412.06, 7,468.65 and 3,054.15 is: 4,214.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,412.06 : 7,468.65 = 3,054.15 : x
  2. Step 2: Convert to fraction form
    5,412.06/7,468.65 = 3,054.15/x
  3. Step 3: Cross multiply
    5,412.06x = 7,468.65 × 3,054.15
  4. Step 4: Simplify right side
    5,412.06x = 22,810,377.40
  5. Step 5: Solve for x
    x = 22,810,377.40/5,412.06
  6. Step 6: Final answer
    x = 4,214.73

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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.