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Finding the Fourth Proportional to 3,468, 5,202.72 and 1,416

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Solution

The fourth proportional to 3,468, 5,202.72 and 1,416 is: 2,124.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,468 : 5,202.72 = 1,416 : x
  2. Step 2: Convert to fraction form
    3,468/5,202.72 = 1,416/x
  3. Step 3: Cross multiply
    3,468x = 5,202.72 × 1,416
  4. Step 4: Simplify right side
    3,468x = 7,367,051.52
  5. Step 5: Solve for x
    x = 7,367,051.52/3,468
  6. Step 6: Final answer
    x = 2,124.29

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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.