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Finding the Fourth Proportional to 3,070.97, 4,230.56 and 2,537.63

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Solution

The fourth proportional to 3,070.97, 4,230.56 and 2,537.63 is: 3,495.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,070.97 : 4,230.56 = 2,537.63 : x
  2. Step 2: Convert to fraction form
    3,070.97/4,230.56 = 2,537.63/x
  3. Step 3: Cross multiply
    3,070.97x = 4,230.56 × 2,537.63
  4. Step 4: Simplify right side
    3,070.97x = 10,735,583.28
  5. Step 5: Solve for x
    x = 10,735,583.28/3,070.97
  6. Step 6: Final answer
    x = 3,495.83

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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.