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Finding the Fourth Proportional to 4,816.73, 6,645.12 and 3,818

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Solution

The fourth proportional to 4,816.73, 6,645.12 and 3,818 is: 5,267.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,816.73 : 6,645.12 = 3,818 : x
  2. Step 2: Convert to fraction form
    4,816.73/6,645.12 = 3,818/x
  3. Step 3: Cross multiply
    4,816.73x = 6,645.12 × 3,818
  4. Step 4: Simplify right side
    4,816.73x = 25,371,068.16
  5. Step 5: Solve for x
    x = 25,371,068.16/4,816.73
  6. Step 6: Final answer
    x = 5,267.28

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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.