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Finding the Fourth Proportional to 4,763.80, 6,574.70 and 2,774.98

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Solution

The fourth proportional to 4,763.80, 6,574.70 and 2,774.98 is: 3,829.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,763.80 : 6,574.70 = 2,774.98 : x
  2. Step 2: Convert to fraction form
    4,763.80/6,574.70 = 2,774.98/x
  3. Step 3: Cross multiply
    4,763.80x = 6,574.70 × 2,774.98
  4. Step 4: Simplify right side
    4,763.80x = 18,244,630.69
  5. Step 5: Solve for x
    x = 18,244,630.69/4,763.80
  6. Step 6: Final answer
    x = 3,829.85

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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.