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Finding the Fourth Proportional to 4,764.68, 6,578.74 and 3,441.32

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Solution

The fourth proportional to 4,764.68, 6,578.74 and 3,441.32 is: 4,751.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,764.68 : 6,578.74 = 3,441.32 : x
  2. Step 2: Convert to fraction form
    4,764.68/6,578.74 = 3,441.32/x
  3. Step 3: Cross multiply
    4,764.68x = 6,578.74 × 3,441.32
  4. Step 4: Simplify right side
    4,764.68x = 22,639,549.54
  5. Step 5: Solve for x
    x = 22,639,549.54/4,764.68
  6. Step 6: Final answer
    x = 4,751.54

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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.