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Finding the Fourth Proportional to 5,406.12, 8,108.46 and 1,510.92

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Solution

The fourth proportional to 5,406.12, 8,108.46 and 1,510.92 is: 2,266.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,406.12 : 8,108.46 = 1,510.92 : x
  2. Step 2: Convert to fraction form
    5,406.12/8,108.46 = 1,510.92/x
  3. Step 3: Cross multiply
    5,406.12x = 8,108.46 × 1,510.92
  4. Step 4: Simplify right side
    5,406.12x = 12,251,234.38
  5. Step 5: Solve for x
    x = 12,251,234.38/5,406.12
  6. Step 6: Final answer
    x = 2,266.18

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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.