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Finding the Fourth Proportional to 3,403.49, 4,696.95 and 1,986.95

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Solution

The fourth proportional to 3,403.49, 4,696.95 and 1,986.95 is: 2,742.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,403.49 : 4,696.95 = 1,986.95 : x
  2. Step 2: Convert to fraction form
    3,403.49/4,696.95 = 1,986.95/x
  3. Step 3: Cross multiply
    3,403.49x = 4,696.95 × 1,986.95
  4. Step 4: Simplify right side
    3,403.49x = 9,332,581.32
  5. Step 5: Solve for x
    x = 9,332,581.32/3,403.49
  6. Step 6: Final answer
    x = 2,742.07

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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.