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Finding the Fourth Proportional to 4,857.42, 7,284.86 and 1,347.73

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Solution

The fourth proportional to 4,857.42, 7,284.86 and 1,347.73 is: 2,021.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,857.42 : 7,284.86 = 1,347.73 : x
  2. Step 2: Convert to fraction form
    4,857.42/7,284.86 = 1,347.73/x
  3. Step 3: Cross multiply
    4,857.42x = 7,284.86 × 1,347.73
  4. Step 4: Simplify right side
    4,857.42x = 9,818,024.37
  5. Step 5: Solve for x
    x = 9,818,024.37/4,857.42
  6. Step 6: Final answer
    x = 2,021.24

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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.