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Finding the Fourth Proportional to 5,096.59, 7,645.98 and 1,586.53

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Solution

The fourth proportional to 5,096.59, 7,645.98 and 1,586.53 is: 2,380.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,096.59 : 7,645.98 = 1,586.53 : x
  2. Step 2: Convert to fraction form
    5,096.59/7,645.98 = 1,586.53/x
  3. Step 3: Cross multiply
    5,096.59x = 7,645.98 × 1,586.53
  4. Step 4: Simplify right side
    5,096.59x = 12,130,576.65
  5. Step 5: Solve for x
    x = 12,130,576.65/5,096.59
  6. Step 6: Final answer
    x = 2,380.14

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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.