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Finding the Fourth Proportional to 5,740.76, 7,920 and 3,382.04

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Solution

The fourth proportional to 5,740.76, 7,920 and 3,382.04 is: 4,665.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,740.76 : 7,920 = 3,382.04 : x
  2. Step 2: Convert to fraction form
    5,740.76/7,920 = 3,382.04/x
  3. Step 3: Cross multiply
    5,740.76x = 7,920 × 3,382.04
  4. Step 4: Simplify right side
    5,740.76x = 26,785,756.80
  5. Step 5: Solve for x
    x = 26,785,756.80/5,740.76
  6. Step 6: Final answer
    x = 4,665.89

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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.