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Finding the Fourth Proportional to 4,275, 6,412.08 and 2,085.24

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Solution

The fourth proportional to 4,275, 6,412.08 and 2,085.24 is: 3,127.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,275 : 6,412.08 = 2,085.24 : x
  2. Step 2: Convert to fraction form
    4,275/6,412.08 = 2,085.24/x
  3. Step 3: Cross multiply
    4,275x = 6,412.08 × 2,085.24
  4. Step 4: Simplify right side
    4,275x = 13,370,725.70
  5. Step 5: Solve for x
    x = 13,370,725.70/4,275
  6. Step 6: Final answer
    x = 3,127.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.