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Finding the Fourth Proportional to 3,734.10, 5,597.68 and 1,652.99

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Solution

The fourth proportional to 3,734.10, 5,597.68 and 1,652.99 is: 2,477.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,734.10 : 5,597.68 = 1,652.99 : x
  2. Step 2: Convert to fraction form
    3,734.10/5,597.68 = 1,652.99/x
  3. Step 3: Cross multiply
    3,734.10x = 5,597.68 × 1,652.99
  4. Step 4: Simplify right side
    3,734.10x = 9,252,909.06
  5. Step 5: Solve for x
    x = 9,252,909.06/3,734.10
  6. Step 6: Final answer
    x = 2,477.95

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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.