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Finding the Fourth Proportional to 5,541.71, 8,312.50 and 1,381.76

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Solution

The fourth proportional to 5,541.71, 8,312.50 and 1,381.76 is: 2,072.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,541.71 : 8,312.50 = 1,381.76 : x
  2. Step 2: Convert to fraction form
    5,541.71/8,312.50 = 1,381.76/x
  3. Step 3: Cross multiply
    5,541.71x = 8,312.50 × 1,381.76
  4. Step 4: Simplify right side
    5,541.71x = 11,485,880
  5. Step 5: Solve for x
    x = 11,485,880/5,541.71
  6. Step 6: Final answer
    x = 2,072.62

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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.