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Finding the Fourth Proportional to 6,254.56, 8,630.96 and 3,460

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Solution

The fourth proportional to 6,254.56, 8,630.96 and 3,460 is: 4,774.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,254.56 : 8,630.96 = 3,460 : x
  2. Step 2: Convert to fraction form
    6,254.56/8,630.96 = 3,460/x
  3. Step 3: Cross multiply
    6,254.56x = 8,630.96 × 3,460
  4. Step 4: Simplify right side
    6,254.56x = 29,863,121.60
  5. Step 5: Solve for x
    x = 29,863,121.60/6,254.56
  6. Step 6: Final answer
    x = 4,774.62

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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.