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Finding the Fourth Proportional to 4,714.60, 7,076.94 and 4,170.28

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Solution

The fourth proportional to 4,714.60, 7,076.94 and 4,170.28 is: 6,259.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,714.60 : 7,076.94 = 4,170.28 : x
  2. Step 2: Convert to fraction form
    4,714.60/7,076.94 = 4,170.28/x
  3. Step 3: Cross multiply
    4,714.60x = 7,076.94 × 4,170.28
  4. Step 4: Simplify right side
    4,714.60x = 29,512,821.34
  5. Step 5: Solve for x
    x = 29,512,821.34/4,714.60
  6. Step 6: Final answer
    x = 6,259.88

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.