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Finding the Fourth Proportional to 4,813.52, 6,635.40 and 3,763.76

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Solution

The fourth proportional to 4,813.52, 6,635.40 and 3,763.76 is: 5,188.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,813.52 : 6,635.40 = 3,763.76 : x
  2. Step 2: Convert to fraction form
    4,813.52/6,635.40 = 3,763.76/x
  3. Step 3: Cross multiply
    4,813.52x = 6,635.40 × 3,763.76
  4. Step 4: Simplify right side
    4,813.52x = 24,974,053.10
  5. Step 5: Solve for x
    x = 24,974,053.10/4,813.52
  6. Step 6: Final answer
    x = 5,188.31

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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.