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Finding the Fourth Proportional to 5,405.74, 8,108.61 and 1,510.14

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Solution

The fourth proportional to 5,405.74, 8,108.61 and 1,510.14 is: 2,265.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,405.74 : 8,108.61 = 1,510.14 : x
  2. Step 2: Convert to fraction form
    5,405.74/8,108.61 = 1,510.14/x
  3. Step 3: Cross multiply
    5,405.74x = 8,108.61 × 1,510.14
  4. Step 4: Simplify right side
    5,405.74x = 12,245,136.31
  5. Step 5: Solve for x
    x = 12,245,136.31/5,405.74
  6. Step 6: Final answer
    x = 2,265.21

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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.