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Finding the Fourth Proportional to 2,949.70, 4,068.48 and 2,816.86

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Solution

The fourth proportional to 2,949.70, 4,068.48 and 2,816.86 is: 3,885.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,949.70 : 4,068.48 = 2,816.86 : x
  2. Step 2: Convert to fraction form
    2,949.70/4,068.48 = 2,816.86/x
  3. Step 3: Cross multiply
    2,949.70x = 4,068.48 × 2,816.86
  4. Step 4: Simplify right side
    2,949.70x = 11,460,338.57
  5. Step 5: Solve for x
    x = 11,460,338.57/2,949.70
  6. Step 6: Final answer
    x = 3,885.26

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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.