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Finding the Fourth Proportional to 5,184.86, 7,152 and 3,766.64

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Solution

The fourth proportional to 5,184.86, 7,152 and 3,766.64 is: 5,195.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,184.86 : 7,152 = 3,766.64 : x
  2. Step 2: Convert to fraction form
    5,184.86/7,152 = 3,766.64/x
  3. Step 3: Cross multiply
    5,184.86x = 7,152 × 3,766.64
  4. Step 4: Simplify right side
    5,184.86x = 26,939,009.28
  5. Step 5: Solve for x
    x = 26,939,009.28/5,184.86
  6. Step 6: Final answer
    x = 5,195.71

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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.