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Finding the Fourth Proportional to 4,610.64, 6,362.66 and 2,514.76

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Solution

The fourth proportional to 4,610.64, 6,362.66 and 2,514.76 is: 3,470.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,610.64 : 6,362.66 = 2,514.76 : x
  2. Step 2: Convert to fraction form
    4,610.64/6,362.66 = 2,514.76/x
  3. Step 3: Cross multiply
    4,610.64x = 6,362.66 × 2,514.76
  4. Step 4: Simplify right side
    4,610.64x = 16,000,562.86
  5. Step 5: Solve for x
    x = 16,000,562.86/4,610.64
  6. Step 6: Final answer
    x = 3,470.36

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.