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Finding the Fourth Proportional to 3,534.04, 5,302.14 and 3,166.48

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Solution

The fourth proportional to 3,534.04, 5,302.14 and 3,166.48 is: 4,750.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,534.04 : 5,302.14 = 3,166.48 : x
  2. Step 2: Convert to fraction form
    3,534.04/5,302.14 = 3,166.48/x
  3. Step 3: Cross multiply
    3,534.04x = 5,302.14 × 3,166.48
  4. Step 4: Simplify right side
    3,534.04x = 16,789,120.27
  5. Step 5: Solve for x
    x = 16,789,120.27/3,534.04
  6. Step 6: Final answer
    x = 4,750.69

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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.