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Finding the Fourth Proportional to 5,166.30, 7,129.17 and 3,070.02

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Solution

The fourth proportional to 5,166.30, 7,129.17 and 3,070.02 is: 4,236.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,166.30 : 7,129.17 = 3,070.02 : x
  2. Step 2: Convert to fraction form
    5,166.30/7,129.17 = 3,070.02/x
  3. Step 3: Cross multiply
    5,166.30x = 7,129.17 × 3,070.02
  4. Step 4: Simplify right side
    5,166.30x = 21,886,694.48
  5. Step 5: Solve for x
    x = 21,886,694.48/5,166.30
  6. Step 6: Final answer
    x = 4,236.44

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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.