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Finding the Fourth Proportional to 3,598.29, 5,390.96 and 3,012.66

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Solution

The fourth proportional to 3,598.29, 5,390.96 and 3,012.66 is: 4,513.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,598.29 : 5,390.96 = 3,012.66 : x
  2. Step 2: Convert to fraction form
    3,598.29/5,390.96 = 3,012.66/x
  3. Step 3: Cross multiply
    3,598.29x = 5,390.96 × 3,012.66
  4. Step 4: Simplify right side
    3,598.29x = 16,241,114.49
  5. Step 5: Solve for x
    x = 16,241,114.49/3,598.29
  6. Step 6: Final answer
    x = 4,513.56

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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.