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Finding the Fourth Proportional to 5,774.87, 7,969.16 and 3,257

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Solution

The fourth proportional to 5,774.87, 7,969.16 and 3,257 is: 4,494.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,774.87 : 7,969.16 = 3,257 : x
  2. Step 2: Convert to fraction form
    5,774.87/7,969.16 = 3,257/x
  3. Step 3: Cross multiply
    5,774.87x = 7,969.16 × 3,257
  4. Step 4: Simplify right side
    5,774.87x = 25,955,554.12
  5. Step 5: Solve for x
    x = 25,955,554.12/5,774.87
  6. Step 6: Final answer
    x = 4,494.57

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.