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Finding the Fourth Proportional to 4,705.53, 6,493.41 and 2,609.61

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Solution

The fourth proportional to 4,705.53, 6,493.41 and 2,609.61 is: 3,601.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,705.53 : 6,493.41 = 2,609.61 : x
  2. Step 2: Convert to fraction form
    4,705.53/6,493.41 = 2,609.61/x
  3. Step 3: Cross multiply
    4,705.53x = 6,493.41 × 2,609.61
  4. Step 4: Simplify right side
    4,705.53x = 16,945,267.67
  5. Step 5: Solve for x
    x = 16,945,267.67/4,705.53
  6. Step 6: Final answer
    x = 3,601.14

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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.