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Finding the Fourth Proportional to 4,933.53, 7,362.09 and 4,407.89

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Solution

The fourth proportional to 4,933.53, 7,362.09 and 4,407.89 is: 6,577.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,933.53 : 7,362.09 = 4,407.89 : x
  2. Step 2: Convert to fraction form
    4,933.53/7,362.09 = 4,407.89/x
  3. Step 3: Cross multiply
    4,933.53x = 7,362.09 × 4,407.89
  4. Step 4: Simplify right side
    4,933.53x = 32,451,246.08
  5. Step 5: Solve for x
    x = 32,451,246.08/4,933.53
  6. Step 6: Final answer
    x = 6,577.69

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.