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Finding the Fourth Proportional to 3,096.48, 4,642.14 and 2,825.66

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Solution

The fourth proportional to 3,096.48, 4,642.14 and 2,825.66 is: 4,236.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,096.48 : 4,642.14 = 2,825.66 : x
  2. Step 2: Convert to fraction form
    3,096.48/4,642.14 = 2,825.66/x
  3. Step 3: Cross multiply
    3,096.48x = 4,642.14 × 2,825.66
  4. Step 4: Simplify right side
    3,096.48x = 13,117,109.31
  5. Step 5: Solve for x
    x = 13,117,109.31/3,096.48
  6. Step 6: Final answer
    x = 4,236.14

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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.