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Finding the Fourth Proportional to 5,233.50, 7,847.01 and 2,460.74

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Solution

The fourth proportional to 5,233.50, 7,847.01 and 2,460.74 is: 3,689.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,233.50 : 7,847.01 = 2,460.74 : x
  2. Step 2: Convert to fraction form
    5,233.50/7,847.01 = 2,460.74/x
  3. Step 3: Cross multiply
    5,233.50x = 7,847.01 × 2,460.74
  4. Step 4: Simplify right side
    5,233.50x = 19,309,412.15
  5. Step 5: Solve for x
    x = 19,309,412.15/5,233.50
  6. Step 6: Final answer
    x = 3,689.58

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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.