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Finding the Fourth Proportional to 6,129.80, 8,460.90 and 4,005.65

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Solution

The fourth proportional to 6,129.80, 8,460.90 and 4,005.65 is: 5,528.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,129.80 : 8,460.90 = 4,005.65 : x
  2. Step 2: Convert to fraction form
    6,129.80/8,460.90 = 4,005.65/x
  3. Step 3: Cross multiply
    6,129.80x = 8,460.90 × 4,005.65
  4. Step 4: Simplify right side
    6,129.80x = 33,891,361.78
  5. Step 5: Solve for x
    x = 33,891,361.78/6,129.80
  6. Step 6: Final answer
    x = 5,528.96

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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.