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Finding the Fourth Proportional to 3,737.12, 5,597.34 and 2,909

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Solution

The fourth proportional to 3,737.12, 5,597.34 and 2,909 is: 4,357.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,737.12 : 5,597.34 = 2,909 : x
  2. Step 2: Convert to fraction form
    3,737.12/5,597.34 = 2,909/x
  3. Step 3: Cross multiply
    3,737.12x = 5,597.34 × 2,909
  4. Step 4: Simplify right side
    3,737.12x = 16,282,662.06
  5. Step 5: Solve for x
    x = 16,282,662.06/3,737.12
  6. Step 6: Final answer
    x = 4,357.01

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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.