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Finding the Fourth Proportional to 4,610.56, 6,362.72 and 2,514.72

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Solution

The fourth proportional to 4,610.56, 6,362.72 and 2,514.72 is: 3,470.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,610.56 : 6,362.72 = 2,514.72 : x
  2. Step 2: Convert to fraction form
    4,610.56/6,362.72 = 2,514.72/x
  3. Step 3: Cross multiply
    4,610.56x = 6,362.72 × 2,514.72
  4. Step 4: Simplify right side
    4,610.56x = 16,000,459.24
  5. Step 5: Solve for x
    x = 16,000,459.24/4,610.56
  6. Step 6: Final answer
    x = 3,470.39

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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.