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Finding the Fourth Proportional to 3,672.32, 5,509.92 and 1,365.44

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Solution

The fourth proportional to 3,672.32, 5,509.92 and 1,365.44 is: 2,048.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,672.32 : 5,509.92 = 1,365.44 : x
  2. Step 2: Convert to fraction form
    3,672.32/5,509.92 = 1,365.44/x
  3. Step 3: Cross multiply
    3,672.32x = 5,509.92 × 1,365.44
  4. Step 4: Simplify right side
    3,672.32x = 7,523,465.16
  5. Step 5: Solve for x
    x = 7,523,465.16/3,672.32
  6. Step 6: Final answer
    x = 2,048.70

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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.