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Finding the Fourth Proportional to 3,542.16, 5,302.98 and 3,166.95

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Solution

The fourth proportional to 3,542.16, 5,302.98 and 3,166.95 is: 4,741.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,542.16 : 5,302.98 = 3,166.95 : x
  2. Step 2: Convert to fraction form
    3,542.16/5,302.98 = 3,166.95/x
  3. Step 3: Cross multiply
    3,542.16x = 5,302.98 × 3,166.95
  4. Step 4: Simplify right side
    3,542.16x = 16,794,272.51
  5. Step 5: Solve for x
    x = 16,794,272.51/3,542.16
  6. Step 6: Final answer
    x = 4,741.25

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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.