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Finding the Fourth Proportional to 3,986.69, 5,504.09 and 2,570.87

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Solution

The fourth proportional to 3,986.69, 5,504.09 and 2,570.87 is: 3,549.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,986.69 : 5,504.09 = 2,570.87 : x
  2. Step 2: Convert to fraction form
    3,986.69/5,504.09 = 2,570.87/x
  3. Step 3: Cross multiply
    3,986.69x = 5,504.09 × 2,570.87
  4. Step 4: Simplify right side
    3,986.69x = 14,150,300.76
  5. Step 5: Solve for x
    x = 14,150,300.76/3,986.69
  6. Step 6: Final answer
    x = 3,549.39

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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.