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Finding the Fourth Proportional to 3,646.03, 5,474.51 and 2,087.80

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Solution

The fourth proportional to 3,646.03, 5,474.51 and 2,087.80 is: 3,134.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,646.03 : 5,474.51 = 2,087.80 : x
  2. Step 2: Convert to fraction form
    3,646.03/5,474.51 = 2,087.80/x
  3. Step 3: Cross multiply
    3,646.03x = 5,474.51 × 2,087.80
  4. Step 4: Simplify right side
    3,646.03x = 11,429,659.82
  5. Step 5: Solve for x
    x = 11,429,659.82/3,646.03
  6. Step 6: Final answer
    x = 3,134.82

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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.