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Finding the Fourth Proportional to 3,506.81, 4,839.06 and 1,934.80

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Solution

The fourth proportional to 3,506.81, 4,839.06 and 1,934.80 is: 2,669.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,506.81 : 4,839.06 = 1,934.80 : x
  2. Step 2: Convert to fraction form
    3,506.81/4,839.06 = 1,934.80/x
  3. Step 3: Cross multiply
    3,506.81x = 4,839.06 × 1,934.80
  4. Step 4: Simplify right side
    3,506.81x = 9,362,613.29
  5. Step 5: Solve for x
    x = 9,362,613.29/3,506.81
  6. Step 6: Final answer
    x = 2,669.84

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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.