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Finding the Fourth Proportional to 3,905.45, 5,860.20 and 1,714.40

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Solution

The fourth proportional to 3,905.45, 5,860.20 and 1,714.40 is: 2,572.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,905.45 : 5,860.20 = 1,714.40 : x
  2. Step 2: Convert to fraction form
    3,905.45/5,860.20 = 1,714.40/x
  3. Step 3: Cross multiply
    3,905.45x = 5,860.20 × 1,714.40
  4. Step 4: Simplify right side
    3,905.45x = 10,046,726.88
  5. Step 5: Solve for x
    x = 10,046,726.88/3,905.45
  6. Step 6: Final answer
    x = 2,572.49

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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.