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Finding the Fourth Proportional to 3,504.49, 4,835.70 and 2,177.71

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Solution

The fourth proportional to 3,504.49, 4,835.70 and 2,177.71 is: 3,004.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,504.49 : 4,835.70 = 2,177.71 : x
  2. Step 2: Convert to fraction form
    3,504.49/4,835.70 = 2,177.71/x
  3. Step 3: Cross multiply
    3,504.49x = 4,835.70 × 2,177.71
  4. Step 4: Simplify right side
    3,504.49x = 10,530,740.16
  5. Step 5: Solve for x
    x = 10,530,740.16/3,504.49
  6. Step 6: Final answer
    x = 3,004.93

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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.