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Finding the Fourth Proportional to 3,652.53, 5,478.31 and 2,087.46

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Solution

The fourth proportional to 3,652.53, 5,478.31 and 2,087.46 is: 3,130.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,652.53 : 5,478.31 = 2,087.46 : x
  2. Step 2: Convert to fraction form
    3,652.53/5,478.31 = 2,087.46/x
  3. Step 3: Cross multiply
    3,652.53x = 5,478.31 × 2,087.46
  4. Step 4: Simplify right side
    3,652.53x = 11,435,752.99
  5. Step 5: Solve for x
    x = 11,435,752.99/3,652.53
  6. Step 6: Final answer
    x = 3,130.91

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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.