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Finding the Fourth Proportional to 5,510.34, 8,266.43 and 1,811.76

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Solution

The fourth proportional to 5,510.34, 8,266.43 and 1,811.76 is: 2,717.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,510.34 : 8,266.43 = 1,811.76 : x
  2. Step 2: Convert to fraction form
    5,510.34/8,266.43 = 1,811.76/x
  3. Step 3: Cross multiply
    5,510.34x = 8,266.43 × 1,811.76
  4. Step 4: Simplify right side
    5,510.34x = 14,976,787.22
  5. Step 5: Solve for x
    x = 14,976,787.22/5,510.34
  6. Step 6: Final answer
    x = 2,717.94

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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.