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Finding the Fourth Proportional to 4,847.76, 7,271.88 and 2,912.40

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Solution

The fourth proportional to 4,847.76, 7,271.88 and 2,912.40 is: 4,368.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,847.76 : 7,271.88 = 2,912.40 : x
  2. Step 2: Convert to fraction form
    4,847.76/7,271.88 = 2,912.40/x
  3. Step 3: Cross multiply
    4,847.76x = 7,271.88 × 2,912.40
  4. Step 4: Simplify right side
    4,847.76x = 21,178,623.31
  5. Step 5: Solve for x
    x = 21,178,623.31/4,847.76
  6. Step 6: Final answer
    x = 4,368.74

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.