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Finding the Fourth Proportional to 3,714.98, 5,572.47 and 3,468.94

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Solution

The fourth proportional to 3,714.98, 5,572.47 and 3,468.94 is: 5,203.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,714.98 : 5,572.47 = 3,468.94 : x
  2. Step 2: Convert to fraction form
    3,714.98/5,572.47 = 3,468.94/x
  3. Step 3: Cross multiply
    3,714.98x = 5,572.47 × 3,468.94
  4. Step 4: Simplify right side
    3,714.98x = 19,330,571.05
  5. Step 5: Solve for x
    x = 19,330,571.05/3,714.98
  6. Step 6: Final answer
    x = 5,203.41

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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.