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Finding the Fourth Proportional to 4,773.51, 7,162.29 and 4,396.50

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Solution

The fourth proportional to 4,773.51, 7,162.29 and 4,396.50 is: 6,596.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,773.51 : 7,162.29 = 4,396.50 : x
  2. Step 2: Convert to fraction form
    4,773.51/7,162.29 = 4,396.50/x
  3. Step 3: Cross multiply
    4,773.51x = 7,162.29 × 4,396.50
  4. Step 4: Simplify right side
    4,773.51x = 31,489,007.99
  5. Step 5: Solve for x
    x = 31,489,007.99/4,773.51
  6. Step 6: Final answer
    x = 6,596.62

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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.