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Finding the Fourth Proportional to 5,645.21, 7,782.68 and 3,756.87

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Solution

The fourth proportional to 5,645.21, 7,782.68 and 3,756.87 is: 5,179.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,645.21 : 7,782.68 = 3,756.87 : x
  2. Step 2: Convert to fraction form
    5,645.21/7,782.68 = 3,756.87/x
  3. Step 3: Cross multiply
    5,645.21x = 7,782.68 × 3,756.87
  4. Step 4: Simplify right side
    5,645.21x = 29,238,526.40
  5. Step 5: Solve for x
    x = 29,238,526.40/5,645.21
  6. Step 6: Final answer
    x = 5,179.36

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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.