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Finding the Fourth Proportional to 3,387.42, 5,076.90 and 1,538.01

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Solution

The fourth proportional to 3,387.42, 5,076.90 and 1,538.01 is: 2,305.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,387.42 : 5,076.90 = 1,538.01 : x
  2. Step 2: Convert to fraction form
    3,387.42/5,076.90 = 1,538.01/x
  3. Step 3: Cross multiply
    3,387.42x = 5,076.90 × 1,538.01
  4. Step 4: Simplify right side
    3,387.42x = 7,808,322.97
  5. Step 5: Solve for x
    x = 7,808,322.97/3,387.42
  6. Step 6: Final answer
    x = 2,305.09

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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.