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Finding the Fourth Proportional to 3,967.96, 5,476.88 and 2,475

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Solution

The fourth proportional to 3,967.96, 5,476.88 and 2,475 is: 3,416.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,967.96 : 5,476.88 = 2,475 : x
  2. Step 2: Convert to fraction form
    3,967.96/5,476.88 = 2,475/x
  3. Step 3: Cross multiply
    3,967.96x = 5,476.88 × 2,475
  4. Step 4: Simplify right side
    3,967.96x = 13,555,278
  5. Step 5: Solve for x
    x = 13,555,278/3,967.96
  6. Step 6: Final answer
    x = 3,416.18

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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.