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Finding the Fourth Proportional to 4,256.20, 6,385.20 and 1,294.40

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Solution

The fourth proportional to 4,256.20, 6,385.20 and 1,294.40 is: 1,941.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,256.20 : 6,385.20 = 1,294.40 : x
  2. Step 2: Convert to fraction form
    4,256.20/6,385.20 = 1,294.40/x
  3. Step 3: Cross multiply
    4,256.20x = 6,385.20 × 1,294.40
  4. Step 4: Simplify right side
    4,256.20x = 8,265,002.88
  5. Step 5: Solve for x
    x = 8,265,002.88/4,256.20
  6. Step 6: Final answer
    x = 1,941.87

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.