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Finding the Fourth Proportional to 3,801.81, 5,246.58 and 2,230

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Solution

The fourth proportional to 3,801.81, 5,246.58 and 2,230 is: 3,077.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,801.81 : 5,246.58 = 2,230 : x
  2. Step 2: Convert to fraction form
    3,801.81/5,246.58 = 2,230/x
  3. Step 3: Cross multiply
    3,801.81x = 5,246.58 × 2,230
  4. Step 4: Simplify right side
    3,801.81x = 11,699,873.40
  5. Step 5: Solve for x
    x = 11,699,873.40/3,801.81
  6. Step 6: Final answer
    x = 3,077.45

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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.