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Finding the Fourth Proportional to 5,099.34, 7,647.57 and 1,810.65

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Solution

The fourth proportional to 5,099.34, 7,647.57 and 1,810.65 is: 2,715.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,099.34 : 7,647.57 = 1,810.65 : x
  2. Step 2: Convert to fraction form
    5,099.34/7,647.57 = 1,810.65/x
  3. Step 3: Cross multiply
    5,099.34x = 7,647.57 × 1,810.65
  4. Step 4: Simplify right side
    5,099.34x = 13,847,072.62
  5. Step 5: Solve for x
    x = 13,847,072.62/5,099.34
  6. Step 6: Final answer
    x = 2,715.46

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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.