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Finding the Fourth Proportional to 4,649.26, 6,971.58 and 1,361.46

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Solution

The fourth proportional to 4,649.26, 6,971.58 and 1,361.46 is: 2,041.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,649.26 : 6,971.58 = 1,361.46 : x
  2. Step 2: Convert to fraction form
    4,649.26/6,971.58 = 1,361.46/x
  3. Step 3: Cross multiply
    4,649.26x = 6,971.58 × 1,361.46
  4. Step 4: Simplify right side
    4,649.26x = 9,491,527.31
  5. Step 5: Solve for x
    x = 9,491,527.31/4,649.26
  6. Step 6: Final answer
    x = 2,041.51

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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.