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Finding the Fourth Proportional to 4,680.68, 6,467.13 and 3,693.51

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Solution

The fourth proportional to 4,680.68, 6,467.13 and 3,693.51 is: 5,103.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,680.68 : 6,467.13 = 3,693.51 : x
  2. Step 2: Convert to fraction form
    4,680.68/6,467.13 = 3,693.51/x
  3. Step 3: Cross multiply
    4,680.68x = 6,467.13 × 3,693.51
  4. Step 4: Simplify right side
    4,680.68x = 23,886,409.33
  5. Step 5: Solve for x
    x = 23,886,409.33/4,680.68
  6. Step 6: Final answer
    x = 5,103.20

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.