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Finding the Fourth Proportional to 3,903.98, 5,854.80 and 2,124.75

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Solution

The fourth proportional to 3,903.98, 5,854.80 and 2,124.75 is: 3,186.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,903.98 : 5,854.80 = 2,124.75 : x
  2. Step 2: Convert to fraction form
    3,903.98/5,854.80 = 2,124.75/x
  3. Step 3: Cross multiply
    3,903.98x = 5,854.80 × 2,124.75
  4. Step 4: Simplify right side
    3,903.98x = 12,439,986.30
  5. Step 5: Solve for x
    x = 12,439,986.30/3,903.98
  6. Step 6: Final answer
    x = 3,186.49

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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.