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Finding the Fourth Proportional to 4,322.12, 6,484.54 and 1,548.72

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Solution

The fourth proportional to 4,322.12, 6,484.54 and 1,548.72 is: 2,323.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,322.12 : 6,484.54 = 1,548.72 : x
  2. Step 2: Convert to fraction form
    4,322.12/6,484.54 = 1,548.72/x
  3. Step 3: Cross multiply
    4,322.12x = 6,484.54 × 1,548.72
  4. Step 4: Simplify right side
    4,322.12x = 10,042,736.79
  5. Step 5: Solve for x
    x = 10,042,736.79/4,322.12
  6. Step 6: Final answer
    x = 2,323.57

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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.