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Finding the Fourth Proportional to 5,954.25, 8,931.59 and 2,256.75

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Solution

The fourth proportional to 5,954.25, 8,931.59 and 2,256.75 is: 3,385.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,954.25 : 8,931.59 = 2,256.75 : x
  2. Step 2: Convert to fraction form
    5,954.25/8,931.59 = 2,256.75/x
  3. Step 3: Cross multiply
    5,954.25x = 8,931.59 × 2,256.75
  4. Step 4: Simplify right side
    5,954.25x = 20,156,354.45
  5. Step 5: Solve for x
    x = 20,156,354.45/5,954.25
  6. Step 6: Final answer
    x = 3,385.20

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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.