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Finding the Fourth Proportional to 6,178.40, 8,526.24 and 3,525.92

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Solution

The fourth proportional to 6,178.40, 8,526.24 and 3,525.92 is: 4,865.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,178.40 : 8,526.24 = 3,525.92 : x
  2. Step 2: Convert to fraction form
    6,178.40/8,526.24 = 3,525.92/x
  3. Step 3: Cross multiply
    6,178.40x = 8,526.24 × 3,525.92
  4. Step 4: Simplify right side
    6,178.40x = 30,062,840.14
  5. Step 5: Solve for x
    x = 30,062,840.14/6,178.40
  6. Step 6: Final answer
    x = 4,865.80

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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.