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Finding the Fourth Proportional to 3,504.67, 5,256.60 and 1,039.30

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Solution

The fourth proportional to 3,504.67, 5,256.60 and 1,039.30 is: 1,558.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,504.67 : 5,256.60 = 1,039.30 : x
  2. Step 2: Convert to fraction form
    3,504.67/5,256.60 = 1,039.30/x
  3. Step 3: Cross multiply
    3,504.67x = 5,256.60 × 1,039.30
  4. Step 4: Simplify right side
    3,504.67x = 5,463,184.38
  5. Step 5: Solve for x
    x = 5,463,184.38/3,504.67
  6. Step 6: Final answer
    x = 1,558.83

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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.