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Finding the Fourth Proportional to 3,354, 5,031.72 and 1,407.84

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Solution

The fourth proportional to 3,354, 5,031.72 and 1,407.84 is: 2,112.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,354 : 5,031.72 = 1,407.84 : x
  2. Step 2: Convert to fraction form
    3,354/5,031.72 = 1,407.84/x
  3. Step 3: Cross multiply
    3,354x = 5,031.72 × 1,407.84
  4. Step 4: Simplify right side
    3,354x = 7,083,856.68
  5. Step 5: Solve for x
    x = 7,083,856.68/3,354
  6. Step 6: Final answer
    x = 2,112.06

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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.