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Finding the Fourth Proportional to 5,740.08, 7,920 and 3,382.32

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Solution

The fourth proportional to 5,740.08, 7,920 and 3,382.32 is: 4,666.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,740.08 : 7,920 = 3,382.32 : x
  2. Step 2: Convert to fraction form
    5,740.08/7,920 = 3,382.32/x
  3. Step 3: Cross multiply
    5,740.08x = 7,920 × 3,382.32
  4. Step 4: Simplify right side
    5,740.08x = 26,787,974.40
  5. Step 5: Solve for x
    x = 26,787,974.40/5,740.08
  6. Step 6: Final answer
    x = 4,666.83

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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.