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Finding the Fourth Proportional to 5,925.96, 8,178.17 and 3,568.46

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Solution

The fourth proportional to 5,925.96, 8,178.17 and 3,568.46 is: 4,924.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,925.96 : 8,178.17 = 3,568.46 : x
  2. Step 2: Convert to fraction form
    5,925.96/8,178.17 = 3,568.46/x
  3. Step 3: Cross multiply
    5,925.96x = 8,178.17 × 3,568.46
  4. Step 4: Simplify right side
    5,925.96x = 29,183,413.79
  5. Step 5: Solve for x
    x = 29,183,413.79/5,925.96
  6. Step 6: Final answer
    x = 4,924.67

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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.