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Finding the Fourth Proportional to 5,178.40, 7,758.96 and 3,636.64

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Solution

The fourth proportional to 5,178.40, 7,758.96 and 3,636.64 is: 5,448.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,178.40 : 7,758.96 = 3,636.64 : x
  2. Step 2: Convert to fraction form
    5,178.40/7,758.96 = 3,636.64/x
  3. Step 3: Cross multiply
    5,178.40x = 7,758.96 × 3,636.64
  4. Step 4: Simplify right side
    5,178.40x = 28,216,544.29
  5. Step 5: Solve for x
    x = 28,216,544.29/5,178.40
  6. Step 6: Final answer
    x = 5,448.89

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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.