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Finding the Fourth Proportional to 6,178.21, 8,526.40 and 3,525.80

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Solution

The fourth proportional to 6,178.21, 8,526.40 and 3,525.80 is: 4,865.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,178.21 : 8,526.40 = 3,525.80 : x
  2. Step 2: Convert to fraction form
    6,178.21/8,526.40 = 3,525.80/x
  3. Step 3: Cross multiply
    6,178.21x = 8,526.40 × 3,525.80
  4. Step 4: Simplify right side
    6,178.21x = 30,062,329.67
  5. Step 5: Solve for x
    x = 30,062,329.67/6,178.21
  6. Step 6: Final answer
    x = 4,865.87

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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.