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Finding the Fourth Proportional to 4,606.86, 6,911.91 and 2,010

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Solution

The fourth proportional to 4,606.86, 6,911.91 and 2,010 is: 3,015.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,606.86 : 6,911.91 = 2,010 : x
  2. Step 2: Convert to fraction form
    4,606.86/6,911.91 = 2,010/x
  3. Step 3: Cross multiply
    4,606.86x = 6,911.91 × 2,010
  4. Step 4: Simplify right side
    4,606.86x = 13,892,939.10
  5. Step 5: Solve for x
    x = 13,892,939.10/4,606.86
  6. Step 6: Final answer
    x = 3,015.71

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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.