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Finding the Fourth Proportional to 4,682.01, 6,460.92 and 2,586

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Solution

The fourth proportional to 4,682.01, 6,460.92 and 2,586 is: 3,568.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,682.01 : 6,460.92 = 2,586 : x
  2. Step 2: Convert to fraction form
    4,682.01/6,460.92 = 2,586/x
  3. Step 3: Cross multiply
    4,682.01x = 6,460.92 × 2,586
  4. Step 4: Simplify right side
    4,682.01x = 16,707,939.12
  5. Step 5: Solve for x
    x = 16,707,939.12/4,682.01
  6. Step 6: Final answer
    x = 3,568.54

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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.