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Finding the Fourth Proportional to 4,060.46, 6,090.66 and 982.46

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Solution

The fourth proportional to 4,060.46, 6,090.66 and 982.46 is: 1,473.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,060.46 : 6,090.66 = 982.46 : x
  2. Step 2: Convert to fraction form
    4,060.46/6,090.66 = 982.46/x
  3. Step 3: Cross multiply
    4,060.46x = 6,090.66 × 982.46
  4. Step 4: Simplify right side
    4,060.46x = 5,983,845.05
  5. Step 5: Solve for x
    x = 5,983,845.05/4,060.46
  6. Step 6: Final answer
    x = 1,473.69

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.