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Finding the Fourth Proportional to 5,222.40, 7,832.16 and 2,300

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Solution

The fourth proportional to 5,222.40, 7,832.16 and 2,300 is: 3,449.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,222.40 : 7,832.16 = 2,300 : x
  2. Step 2: Convert to fraction form
    5,222.40/7,832.16 = 2,300/x
  3. Step 3: Cross multiply
    5,222.40x = 7,832.16 × 2,300
  4. Step 4: Simplify right side
    5,222.40x = 18,013,968
  5. Step 5: Solve for x
    x = 18,013,968/5,222.40
  6. Step 6: Final answer
    x = 3,449.37

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.