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Finding the Fourth Proportional to 4,682.85, 6,461.87 and 2,586.84

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Solution

The fourth proportional to 4,682.85, 6,461.87 and 2,586.84 is: 3,569.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,682.85 : 6,461.87 = 2,586.84 : x
  2. Step 2: Convert to fraction form
    4,682.85/6,461.87 = 2,586.84/x
  3. Step 3: Cross multiply
    4,682.85x = 6,461.87 × 2,586.84
  4. Step 4: Simplify right side
    4,682.85x = 16,715,810.86
  5. Step 5: Solve for x
    x = 16,715,810.86/4,682.85
  6. Step 6: Final answer
    x = 3,569.58

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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.