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Finding the Fourth Proportional to 6,254.88, 8,631.96 and 3,460.40

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Solution

The fourth proportional to 6,254.88, 8,631.96 and 3,460.40 is: 4,775.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,254.88 : 8,631.96 = 3,460.40 : x
  2. Step 2: Convert to fraction form
    6,254.88/8,631.96 = 3,460.40/x
  3. Step 3: Cross multiply
    6,254.88x = 8,631.96 × 3,460.40
  4. Step 4: Simplify right side
    6,254.88x = 29,870,034.38
  5. Step 5: Solve for x
    x = 29,870,034.38/6,254.88
  6. Step 6: Final answer
    x = 4,775.48

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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.