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Finding the Fourth Proportional to 4,832.32, 7,248.41 and 1,369.57

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Solution

The fourth proportional to 4,832.32, 7,248.41 and 1,369.57 is: 2,054.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,832.32 : 7,248.41 = 1,369.57 : x
  2. Step 2: Convert to fraction form
    4,832.32/7,248.41 = 1,369.57/x
  3. Step 3: Cross multiply
    4,832.32x = 7,248.41 × 1,369.57
  4. Step 4: Simplify right side
    4,832.32x = 9,927,185.05
  5. Step 5: Solve for x
    x = 9,927,185.05/4,832.32
  6. Step 6: Final answer
    x = 2,054.33

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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.