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Finding the Fourth Proportional to 4,846.56, 7,269.84 and 1,559.58

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Solution

The fourth proportional to 4,846.56, 7,269.84 and 1,559.58 is: 2,339.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,846.56 : 7,269.84 = 1,559.58 : x
  2. Step 2: Convert to fraction form
    4,846.56/7,269.84 = 1,559.58/x
  3. Step 3: Cross multiply
    4,846.56x = 7,269.84 × 1,559.58
  4. Step 4: Simplify right side
    4,846.56x = 11,337,897.07
  5. Step 5: Solve for x
    x = 11,337,897.07/4,846.56
  6. Step 6: Final answer
    x = 2,339.37

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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.