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Finding the Fourth Proportional to 3,412.75, 4,710.48 and 2,087.56

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Solution

The fourth proportional to 3,412.75, 4,710.48 and 2,087.56 is: 2,881.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,412.75 : 4,710.48 = 2,087.56 : x
  2. Step 2: Convert to fraction form
    3,412.75/4,710.48 = 2,087.56/x
  3. Step 3: Cross multiply
    3,412.75x = 4,710.48 × 2,087.56
  4. Step 4: Simplify right side
    3,412.75x = 9,833,406.94
  5. Step 5: Solve for x
    x = 9,833,406.94/3,412.75
  6. Step 6: Final answer
    x = 2,881.38

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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.