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Finding the Fourth Proportional to 4,957.81, 6,839.02 and 3,068.19

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Solution

The fourth proportional to 4,957.81, 6,839.02 and 3,068.19 is: 4,232.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,957.81 : 6,839.02 = 3,068.19 : x
  2. Step 2: Convert to fraction form
    4,957.81/6,839.02 = 3,068.19/x
  3. Step 3: Cross multiply
    4,957.81x = 6,839.02 × 3,068.19
  4. Step 4: Simplify right side
    4,957.81x = 20,983,405.10
  5. Step 5: Solve for x
    x = 20,983,405.10/4,957.81
  6. Step 6: Final answer
    x = 4,232.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.