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Finding the Fourth Proportional to 6,178.53, 8,526.24 and 3,525.69

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Solution

The fourth proportional to 6,178.53, 8,526.24 and 3,525.69 is: 4,865.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,178.53 : 8,526.24 = 3,525.69 : x
  2. Step 2: Convert to fraction form
    6,178.53/8,526.24 = 3,525.69/x
  3. Step 3: Cross multiply
    6,178.53x = 8,526.24 × 3,525.69
  4. Step 4: Simplify right side
    6,178.53x = 30,060,879.11
  5. Step 5: Solve for x
    x = 30,060,879.11/6,178.53
  6. Step 6: Final answer
    x = 4,865.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.