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Finding the Fourth Proportional to 4,846.53, 7,269.80 and 1,559.69

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Solution

The fourth proportional to 4,846.53, 7,269.80 and 1,559.69 is: 2,339.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,846.53 : 7,269.80 = 1,559.69 : x
  2. Step 2: Convert to fraction form
    4,846.53/7,269.80 = 1,559.69/x
  3. Step 3: Cross multiply
    4,846.53x = 7,269.80 × 1,559.69
  4. Step 4: Simplify right side
    4,846.53x = 11,338,590.21
  5. Step 5: Solve for x
    x = 11,338,590.21/4,846.53
  6. Step 6: Final answer
    x = 2,339.53

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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.