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Finding the Fourth Proportional to 3,252.37, 4,878.84 and 1,586.08

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Solution

The fourth proportional to 3,252.37, 4,878.84 and 1,586.08 is: 2,379.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,252.37 : 4,878.84 = 1,586.08 : x
  2. Step 2: Convert to fraction form
    3,252.37/4,878.84 = 1,586.08/x
  3. Step 3: Cross multiply
    3,252.37x = 4,878.84 × 1,586.08
  4. Step 4: Simplify right side
    3,252.37x = 7,738,230.55
  5. Step 5: Solve for x
    x = 7,738,230.55/3,252.37
  6. Step 6: Final answer
    x = 2,379.26

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.