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Finding the Fourth Proportional to 3,742.90, 5,615.97 and 2,009.50

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Solution

The fourth proportional to 3,742.90, 5,615.97 and 2,009.50 is: 3,015.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,742.90 : 5,615.97 = 2,009.50 : x
  2. Step 2: Convert to fraction form
    3,742.90/5,615.97 = 2,009.50/x
  3. Step 3: Cross multiply
    3,742.90x = 5,615.97 × 2,009.50
  4. Step 4: Simplify right side
    3,742.90x = 11,285,291.72
  5. Step 5: Solve for x
    x = 11,285,291.72/3,742.90
  6. Step 6: Final answer
    x = 3,015.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.