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Finding the Fourth Proportional to 3,541.79, 5,302.42 and 3,166.58

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Solution

The fourth proportional to 3,541.79, 5,302.42 and 3,166.58 is: 4,740.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,541.79 : 5,302.42 = 3,166.58 : x
  2. Step 2: Convert to fraction form
    3,541.79/5,302.42 = 3,166.58/x
  3. Step 3: Cross multiply
    3,541.79x = 5,302.42 × 3,166.58
  4. Step 4: Simplify right side
    3,541.79x = 16,790,537.12
  5. Step 5: Solve for x
    x = 16,790,537.12/3,541.79
  6. Step 6: Final answer
    x = 4,740.69

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.