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Finding the Fourth Proportional to 3,597.72, 5,389.71 and 2,113.29

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Solution

The fourth proportional to 3,597.72, 5,389.71 and 2,113.29 is: 3,165.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,597.72 : 5,389.71 = 2,113.29 : x
  2. Step 2: Convert to fraction form
    3,597.72/5,389.71 = 2,113.29/x
  3. Step 3: Cross multiply
    3,597.72x = 5,389.71 × 2,113.29
  4. Step 4: Simplify right side
    3,597.72x = 11,390,020.25
  5. Step 5: Solve for x
    x = 11,390,020.25/3,597.72
  6. Step 6: Final answer
    x = 3,165.90

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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.