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Finding the Fourth Proportional to 5,223.84, 7,205.19 and 3,457.85

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Solution

The fourth proportional to 5,223.84, 7,205.19 and 3,457.85 is: 4,769.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,223.84 : 7,205.19 = 3,457.85 : x
  2. Step 2: Convert to fraction form
    5,223.84/7,205.19 = 3,457.85/x
  3. Step 3: Cross multiply
    5,223.84x = 7,205.19 × 3,457.85
  4. Step 4: Simplify right side
    5,223.84x = 24,914,430.22
  5. Step 5: Solve for x
    x = 24,914,430.22/5,223.84
  6. Step 6: Final answer
    x = 4,769.37

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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.