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Finding the Fourth Proportional to 4,801.41, 6,632.50 and 4,063.30

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Solution

The fourth proportional to 4,801.41, 6,632.50 and 4,063.30 is: 5,612.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,801.41 : 6,632.50 = 4,063.30 : x
  2. Step 2: Convert to fraction form
    4,801.41/6,632.50 = 4,063.30/x
  3. Step 3: Cross multiply
    4,801.41x = 6,632.50 × 4,063.30
  4. Step 4: Simplify right side
    4,801.41x = 26,949,837.25
  5. Step 5: Solve for x
    x = 26,949,837.25/4,801.41
  6. Step 6: Final answer
    x = 5,612.90

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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.