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Finding the Fourth Proportional to 3,652.47, 5,471.50 and 2,416.14

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Solution

The fourth proportional to 3,652.47, 5,471.50 and 2,416.14 is: 3,619.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,652.47 : 5,471.50 = 2,416.14 : x
  2. Step 2: Convert to fraction form
    3,652.47/5,471.50 = 2,416.14/x
  3. Step 3: Cross multiply
    3,652.47x = 5,471.50 × 2,416.14
  4. Step 4: Simplify right side
    3,652.47x = 13,219,917.65
  5. Step 5: Solve for x
    x = 13,219,917.65/3,652.47
  6. Step 6: Final answer
    x = 3,619.44

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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.