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Finding the Fourth Proportional to 5,405.94, 7,457.67 and 3,419.42

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Solution

The fourth proportional to 5,405.94, 7,457.67 and 3,419.42 is: 4,717.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,405.94 : 7,457.67 = 3,419.42 : x
  2. Step 2: Convert to fraction form
    5,405.94/7,457.67 = 3,419.42/x
  3. Step 3: Cross multiply
    5,405.94x = 7,457.67 × 3,419.42
  4. Step 4: Simplify right side
    5,405.94x = 25,500,868.66
  5. Step 5: Solve for x
    x = 25,500,868.66/5,405.94
  6. Step 6: Final answer
    x = 4,717.19

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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.