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Finding the Fourth Proportional to 3,646.44, 5,032.14 and 2,074.50

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Solution

The fourth proportional to 3,646.44, 5,032.14 and 2,074.50 is: 2,862.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,646.44 : 5,032.14 = 2,074.50 : x
  2. Step 2: Convert to fraction form
    3,646.44/5,032.14 = 2,074.50/x
  3. Step 3: Cross multiply
    3,646.44x = 5,032.14 × 2,074.50
  4. Step 4: Simplify right side
    3,646.44x = 10,439,174.43
  5. Step 5: Solve for x
    x = 10,439,174.43/3,646.44
  6. Step 6: Final answer
    x = 2,862.84

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.