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Finding the Fourth Proportional to 4,696.58, 6,480.21 and 2,807.84

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Solution

The fourth proportional to 4,696.58, 6,480.21 and 2,807.84 is: 3,874.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,696.58 : 6,480.21 = 2,807.84 : x
  2. Step 2: Convert to fraction form
    4,696.58/6,480.21 = 2,807.84/x
  3. Step 3: Cross multiply
    4,696.58x = 6,480.21 × 2,807.84
  4. Step 4: Simplify right side
    4,696.58x = 18,195,409.05
  5. Step 5: Solve for x
    x = 18,195,409.05/4,696.58
  6. Step 6: Final answer
    x = 3,874.19

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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.