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Finding the Fourth Proportional to 5,654.62, 8,485.82 and 2,538.11

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Solution

The fourth proportional to 5,654.62, 8,485.82 and 2,538.11 is: 3,808.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,654.62 : 8,485.82 = 2,538.11 : x
  2. Step 2: Convert to fraction form
    5,654.62/8,485.82 = 2,538.11/x
  3. Step 3: Cross multiply
    5,654.62x = 8,485.82 × 2,538.11
  4. Step 4: Simplify right side
    5,654.62x = 21,537,962.64
  5. Step 5: Solve for x
    x = 21,537,962.64/5,654.62
  6. Step 6: Final answer
    x = 3,808.91

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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.