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Finding the Fourth Proportional to 4,714.96, 7,057.84 and 4,015.12

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Solution

The fourth proportional to 4,714.96, 7,057.84 and 4,015.12 is: 6,010.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,714.96 : 7,057.84 = 4,015.12 : x
  2. Step 2: Convert to fraction form
    4,714.96/7,057.84 = 4,015.12/x
  3. Step 3: Cross multiply
    4,714.96x = 7,057.84 × 4,015.12
  4. Step 4: Simplify right side
    4,714.96x = 28,338,074.54
  5. Step 5: Solve for x
    x = 28,338,074.54/4,714.96
  6. Step 6: Final answer
    x = 6,010.25

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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.