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Finding the Fourth Proportional to 3,548.53, 5,322.80 and 3,032.02

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Solution

The fourth proportional to 3,548.53, 5,322.80 and 3,032.02 is: 4,548.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,548.53 : 5,322.80 = 3,032.02 : x
  2. Step 2: Convert to fraction form
    3,548.53/5,322.80 = 3,032.02/x
  3. Step 3: Cross multiply
    3,548.53x = 5,322.80 × 3,032.02
  4. Step 4: Simplify right side
    3,548.53x = 16,138,836.06
  5. Step 5: Solve for x
    x = 16,138,836.06/3,548.53
  6. Step 6: Final answer
    x = 4,548.03

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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.