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Finding the Fourth Proportional to 5,654.15, 8,478.09 and 2,537.14

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Solution

The fourth proportional to 5,654.15, 8,478.09 and 2,537.14 is: 3,804.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,654.15 : 8,478.09 = 2,537.14 : x
  2. Step 2: Convert to fraction form
    5,654.15/8,478.09 = 2,537.14/x
  3. Step 3: Cross multiply
    5,654.15x = 8,478.09 × 2,537.14
  4. Step 4: Simplify right side
    5,654.15x = 21,510,095.96
  5. Step 5: Solve for x
    x = 21,510,095.96/5,654.15
  6. Step 6: Final answer
    x = 3,804.30

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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.