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Finding the Fourth Proportional to 4,770.74, 6,574.28 and 3,652.94

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Solution

The fourth proportional to 4,770.74, 6,574.28 and 3,652.94 is: 5,033.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,770.74 : 6,574.28 = 3,652.94 : x
  2. Step 2: Convert to fraction form
    4,770.74/6,574.28 = 3,652.94/x
  3. Step 3: Cross multiply
    4,770.74x = 6,574.28 × 3,652.94
  4. Step 4: Simplify right side
    4,770.74x = 24,015,450.38
  5. Step 5: Solve for x
    x = 24,015,450.38/4,770.74
  6. Step 6: Final answer
    x = 5,033.90

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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.