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Finding the Fourth Proportional to 4,930.32, 6,802.99 and 4,680.99

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Solution

The fourth proportional to 4,930.32, 6,802.99 and 4,680.99 is: 6,458.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,930.32 : 6,802.99 = 4,680.99 : x
  2. Step 2: Convert to fraction form
    4,930.32/6,802.99 = 4,680.99/x
  3. Step 3: Cross multiply
    4,930.32x = 6,802.99 × 4,680.99
  4. Step 4: Simplify right side
    4,930.32x = 31,844,716.46
  5. Step 5: Solve for x
    x = 31,844,716.46/4,930.32
  6. Step 6: Final answer
    x = 6,458.96

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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.