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Finding the Fourth Proportional to 5,347.99, 7,378.43 and 3,461.96

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Solution

The fourth proportional to 5,347.99, 7,378.43 and 3,461.96 is: 4,776.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,347.99 : 7,378.43 = 3,461.96 : x
  2. Step 2: Convert to fraction form
    5,347.99/7,378.43 = 3,461.96/x
  3. Step 3: Cross multiply
    5,347.99x = 7,378.43 × 3,461.96
  4. Step 4: Simplify right side
    5,347.99x = 25,543,789.16
  5. Step 5: Solve for x
    x = 25,543,789.16/5,347.99
  6. Step 6: Final answer
    x = 4,776.33

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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.