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Finding the Fourth Proportional to 5,235.52, 7,846.89 and 2,458.49

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Solution

The fourth proportional to 5,235.52, 7,846.89 and 2,458.49 is: 3,684.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,235.52 : 7,846.89 = 2,458.49 : x
  2. Step 2: Convert to fraction form
    5,235.52/7,846.89 = 2,458.49/x
  3. Step 3: Cross multiply
    5,235.52x = 7,846.89 × 2,458.49
  4. Step 4: Simplify right side
    5,235.52x = 19,291,449.07
  5. Step 5: Solve for x
    x = 19,291,449.07/5,235.52
  6. Step 6: Final answer
    x = 3,684.72

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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.