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Finding the Fourth Proportional to 4,334.30, 6,500.97 and 1,256.30

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Solution

The fourth proportional to 4,334.30, 6,500.97 and 1,256.30 is: 1,884.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,334.30 : 6,500.97 = 1,256.30 : x
  2. Step 2: Convert to fraction form
    4,334.30/6,500.97 = 1,256.30/x
  3. Step 3: Cross multiply
    4,334.30x = 6,500.97 × 1,256.30
  4. Step 4: Simplify right side
    4,334.30x = 8,167,168.61
  5. Step 5: Solve for x
    x = 8,167,168.61/4,334.30
  6. Step 6: Final answer
    x = 1,884.31

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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.