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Finding the Fourth Proportional to 4,160.57, 5,740.31 and 2,504.57

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Solution

The fourth proportional to 4,160.57, 5,740.31 and 2,504.57 is: 3,455.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,160.57 : 5,740.31 = 2,504.57 : x
  2. Step 2: Convert to fraction form
    4,160.57/5,740.31 = 2,504.57/x
  3. Step 3: Cross multiply
    4,160.57x = 5,740.31 × 2,504.57
  4. Step 4: Simplify right side
    4,160.57x = 14,376,985.78
  5. Step 5: Solve for x
    x = 14,376,985.78/4,160.57
  6. Step 6: Final answer
    x = 3,455.54

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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.