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Finding the Fourth Proportional to 5,230.72, 7,846.08 and 2,312

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Solution

The fourth proportional to 5,230.72, 7,846.08 and 2,312 is: 3,468

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,230.72 : 7,846.08 = 2,312 : x
  2. Step 2: Convert to fraction form
    5,230.72/7,846.08 = 2,312/x
  3. Step 3: Cross multiply
    5,230.72x = 7,846.08 × 2,312
  4. Step 4: Simplify right side
    5,230.72x = 18,140,136.96
  5. Step 5: Solve for x
    x = 18,140,136.96/5,230.72
  6. Step 6: Final answer
    x = 3,468

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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.