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Finding the Fourth Proportional to 4,457.97, 6,139.44 and 4,361.07

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Solution

The fourth proportional to 4,457.97, 6,139.44 and 4,361.07 is: 6,005.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,457.97 : 6,139.44 = 4,361.07 : x
  2. Step 2: Convert to fraction form
    4,457.97/6,139.44 = 4,361.07/x
  3. Step 3: Cross multiply
    4,457.97x = 6,139.44 × 4,361.07
  4. Step 4: Simplify right side
    4,457.97x = 26,774,527.60
  5. Step 5: Solve for x
    x = 26,774,527.60/4,457.97
  6. Step 6: Final answer
    x = 6,005.99

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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.