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Finding the Fourth Proportional to 4,764.26, 7,088.73 and 4,645.22

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Solution

The fourth proportional to 4,764.26, 7,088.73 and 4,645.22 is: 6,911.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,764.26 : 7,088.73 = 4,645.22 : x
  2. Step 2: Convert to fraction form
    4,764.26/7,088.73 = 4,645.22/x
  3. Step 3: Cross multiply
    4,764.26x = 7,088.73 × 4,645.22
  4. Step 4: Simplify right side
    4,764.26x = 32,928,687.14
  5. Step 5: Solve for x
    x = 32,928,687.14/4,764.26
  6. Step 6: Final answer
    x = 6,911.61

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.