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Finding the Fourth Proportional to 4,714.50, 7,071.75 and 1,636.50

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Solution

The fourth proportional to 4,714.50, 7,071.75 and 1,636.50 is: 2,454.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,714.50 : 7,071.75 = 1,636.50 : x
  2. Step 2: Convert to fraction form
    4,714.50/7,071.75 = 1,636.50/x
  3. Step 3: Cross multiply
    4,714.50x = 7,071.75 × 1,636.50
  4. Step 4: Simplify right side
    4,714.50x = 11,572,918.88
  5. Step 5: Solve for x
    x = 11,572,918.88/4,714.50
  6. Step 6: Final answer
    x = 2,454.75

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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.