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Finding the Fourth Proportional to 5,178.64, 7,096.72 and 4,680.40

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Solution

The fourth proportional to 5,178.64, 7,096.72 and 4,680.40 is: 6,413.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,178.64 : 7,096.72 = 4,680.40 : x
  2. Step 2: Convert to fraction form
    5,178.64/7,096.72 = 4,680.40/x
  3. Step 3: Cross multiply
    5,178.64x = 7,096.72 × 4,680.40
  4. Step 4: Simplify right side
    5,178.64x = 33,215,476.40
  5. Step 5: Solve for x
    x = 33,215,476.40/5,178.64
  6. Step 6: Final answer
    x = 6,413.94

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.