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Finding the Fourth Proportional to 6,034.76, 8,325.82 and 4,776.02

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Solution

The fourth proportional to 6,034.76, 8,325.82 and 4,776.02 is: 6,589.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,034.76 : 8,325.82 = 4,776.02 : x
  2. Step 2: Convert to fraction form
    6,034.76/8,325.82 = 4,776.02/x
  3. Step 3: Cross multiply
    6,034.76x = 8,325.82 × 4,776.02
  4. Step 4: Simplify right side
    6,034.76x = 39,764,282.84
  5. Step 5: Solve for x
    x = 39,764,282.84/6,034.76
  6. Step 6: Final answer
    x = 6,589.21

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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.