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Finding the Fourth Proportional to 4,682.89, 6,461.94 and 2,586.88

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Solution

The fourth proportional to 4,682.89, 6,461.94 and 2,586.88 is: 3,569.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,682.89 : 6,461.94 = 2,586.88 : x
  2. Step 2: Convert to fraction form
    4,682.89/6,461.94 = 2,586.88/x
  3. Step 3: Cross multiply
    4,682.89x = 6,461.94 × 2,586.88
  4. Step 4: Simplify right side
    4,682.89x = 16,716,263.35
  5. Step 5: Solve for x
    x = 16,716,263.35/4,682.89
  6. Step 6: Final answer
    x = 3,569.65

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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.