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Finding the Fourth Proportional to 5,212.86, 7,186.26 and 3,718.18

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Solution

The fourth proportional to 5,212.86, 7,186.26 and 3,718.18 is: 5,125.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,212.86 : 7,186.26 = 3,718.18 : x
  2. Step 2: Convert to fraction form
    5,212.86/7,186.26 = 3,718.18/x
  3. Step 3: Cross multiply
    5,212.86x = 7,186.26 × 3,718.18
  4. Step 4: Simplify right side
    5,212.86x = 26,719,808.21
  5. Step 5: Solve for x
    x = 26,719,808.21/5,212.86
  6. Step 6: Final answer
    x = 5,125.75

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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.