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Finding the Fourth Proportional to 3,540.94, 4,886.61 and 2,124.14

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Solution

The fourth proportional to 3,540.94, 4,886.61 and 2,124.14 is: 2,931.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,540.94 : 4,886.61 = 2,124.14 : x
  2. Step 2: Convert to fraction form
    3,540.94/4,886.61 = 2,124.14/x
  3. Step 3: Cross multiply
    3,540.94x = 4,886.61 × 2,124.14
  4. Step 4: Simplify right side
    3,540.94x = 10,379,843.77
  5. Step 5: Solve for x
    x = 10,379,843.77/3,540.94
  6. Step 6: Final answer
    x = 2,931.38

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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.