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Finding the Fourth Proportional to 5,228.49, 7,846.64 and 3,257

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Solution

The fourth proportional to 5,228.49, 7,846.64 and 3,257 is: 4,887.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,228.49 : 7,846.64 = 3,257 : x
  2. Step 2: Convert to fraction form
    5,228.49/7,846.64 = 3,257/x
  3. Step 3: Cross multiply
    5,228.49x = 7,846.64 × 3,257
  4. Step 4: Simplify right side
    5,228.49x = 25,556,506.48
  5. Step 5: Solve for x
    x = 25,556,506.48/5,228.49
  6. Step 6: Final answer
    x = 4,887.93

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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.