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Finding the Fourth Proportional to 4,815.96, 6,642.95 and 3,116.68

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Solution

The fourth proportional to 4,815.96, 6,642.95 and 3,116.68 is: 4,299.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,815.96 : 6,642.95 = 3,116.68 : x
  2. Step 2: Convert to fraction form
    4,815.96/6,642.95 = 3,116.68/x
  3. Step 3: Cross multiply
    4,815.96x = 6,642.95 × 3,116.68
  4. Step 4: Simplify right side
    4,815.96x = 20,703,917.22
  5. Step 5: Solve for x
    x = 20,703,917.22/4,815.96
  6. Step 6: Final answer
    x = 4,299.03

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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.