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Finding the Fourth Proportional to 3,924.65, 5,413.62 and 2,330.22

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Solution

The fourth proportional to 3,924.65, 5,413.62 and 2,330.22 is: 3,214.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,924.65 : 5,413.62 = 2,330.22 : x
  2. Step 2: Convert to fraction form
    3,924.65/5,413.62 = 2,330.22/x
  3. Step 3: Cross multiply
    3,924.65x = 5,413.62 × 2,330.22
  4. Step 4: Simplify right side
    3,924.65x = 12,614,931.42
  5. Step 5: Solve for x
    x = 12,614,931.42/3,924.65
  6. Step 6: Final answer
    x = 3,214.28

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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.