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Finding the Fourth Proportional to 4,544.40, 6,274.80 and 3,664.40

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Solution

The fourth proportional to 4,544.40, 6,274.80 and 3,664.40 is: 5,059.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,544.40 : 6,274.80 = 3,664.40 : x
  2. Step 2: Convert to fraction form
    4,544.40/6,274.80 = 3,664.40/x
  3. Step 3: Cross multiply
    4,544.40x = 6,274.80 × 3,664.40
  4. Step 4: Simplify right side
    4,544.40x = 22,993,377.12
  5. Step 5: Solve for x
    x = 22,993,377.12/4,544.40
  6. Step 6: Final answer
    x = 5,059.72

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.