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Finding the Fourth Proportional to 3,586.42, 5,342.65 and 3,477.61

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Solution

The fourth proportional to 3,586.42, 5,342.65 and 3,477.61 is: 5,180.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,586.42 : 5,342.65 = 3,477.61 : x
  2. Step 2: Convert to fraction form
    3,586.42/5,342.65 = 3,477.61/x
  3. Step 3: Cross multiply
    3,586.42x = 5,342.65 × 3,477.61
  4. Step 4: Simplify right side
    3,586.42x = 18,579,651.05
  5. Step 5: Solve for x
    x = 18,579,651.05/3,586.42
  6. Step 6: Final answer
    x = 5,180.55

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.