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Finding the Fourth Proportional to 3,628.66, 5,445.05 and 1,548.47

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Solution

The fourth proportional to 3,628.66, 5,445.05 and 1,548.47 is: 2,323.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,628.66 : 5,445.05 = 1,548.47 : x
  2. Step 2: Convert to fraction form
    3,628.66/5,445.05 = 1,548.47/x
  3. Step 3: Cross multiply
    3,628.66x = 5,445.05 × 1,548.47
  4. Step 4: Simplify right side
    3,628.66x = 8,431,496.57
  5. Step 5: Solve for x
    x = 8,431,496.57/3,628.66
  6. Step 6: Final answer
    x = 2,323.58

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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.