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Finding the Fourth Proportional to 5,907.75, 8,152.17 and 3,255

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Solution

The fourth proportional to 5,907.75, 8,152.17 and 3,255 is: 4,491.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,907.75 : 8,152.17 = 3,255 : x
  2. Step 2: Convert to fraction form
    5,907.75/8,152.17 = 3,255/x
  3. Step 3: Cross multiply
    5,907.75x = 8,152.17 × 3,255
  4. Step 4: Simplify right side
    5,907.75x = 26,535,313.35
  5. Step 5: Solve for x
    x = 26,535,313.35/5,907.75
  6. Step 6: Final answer
    x = 4,491.61

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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.