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Finding the Fourth Proportional to 4,710.57, 6,500.46 and 2,586.09

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Solution

The fourth proportional to 4,710.57, 6,500.46 and 2,586.09 is: 3,568.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,710.57 : 6,500.46 = 2,586.09 : x
  2. Step 2: Convert to fraction form
    4,710.57/6,500.46 = 2,586.09/x
  3. Step 3: Cross multiply
    4,710.57x = 6,500.46 × 2,586.09
  4. Step 4: Simplify right side
    4,710.57x = 16,810,742.10
  5. Step 5: Solve for x
    x = 16,810,742.10/4,710.57
  6. Step 6: Final answer
    x = 3,568.73

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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.