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Finding the Fourth Proportional to 5,109.27, 7,054.02 and 3,343.86

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Solution

The fourth proportional to 5,109.27, 7,054.02 and 3,343.86 is: 4,616.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,109.27 : 7,054.02 = 3,343.86 : x
  2. Step 2: Convert to fraction form
    5,109.27/7,054.02 = 3,343.86/x
  3. Step 3: Cross multiply
    5,109.27x = 7,054.02 × 3,343.86
  4. Step 4: Simplify right side
    5,109.27x = 23,587,655.32
  5. Step 5: Solve for x
    x = 23,587,655.32/5,109.27
  6. Step 6: Final answer
    x = 4,616.64

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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.