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Finding the Fourth Proportional to 4,322.40, 6,482.89 and 1,548.66

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Solution

The fourth proportional to 4,322.40, 6,482.89 and 1,548.66 is: 2,322.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,322.40 : 6,482.89 = 1,548.66 : x
  2. Step 2: Convert to fraction form
    4,322.40/6,482.89 = 1,548.66/x
  3. Step 3: Cross multiply
    4,322.40x = 6,482.89 × 1,548.66
  4. Step 4: Simplify right side
    4,322.40x = 10,039,784.68
  5. Step 5: Solve for x
    x = 10,039,784.68/4,322.40
  6. Step 6: Final answer
    x = 2,322.73

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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.