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Finding the Fourth Proportional to 5,638.64, 7,782.90 and 4,519.14

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Solution

The fourth proportional to 5,638.64, 7,782.90 and 4,519.14 is: 6,237.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,638.64 : 7,782.90 = 4,519.14 : x
  2. Step 2: Convert to fraction form
    5,638.64/7,782.90 = 4,519.14/x
  3. Step 3: Cross multiply
    5,638.64x = 7,782.90 × 4,519.14
  4. Step 4: Simplify right side
    5,638.64x = 35,172,014.71
  5. Step 5: Solve for x
    x = 35,172,014.71/5,638.64
  6. Step 6: Final answer
    x = 6,237.68

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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.