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Finding the Fourth Proportional to 4,322.25, 6,484.73 and 1,548.86

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Solution

The fourth proportional to 4,322.25, 6,484.73 and 1,548.86 is: 2,323.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,322.25 : 6,484.73 = 1,548.86 : x
  2. Step 2: Convert to fraction form
    4,322.25/6,484.73 = 1,548.86/x
  3. Step 3: Cross multiply
    4,322.25x = 6,484.73 × 1,548.86
  4. Step 4: Simplify right side
    4,322.25x = 10,043,898.74
  5. Step 5: Solve for x
    x = 10,043,898.74/4,322.25
  6. Step 6: Final answer
    x = 2,323.77

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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.