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Finding the Fourth Proportional to 5,209.68, 7,182.90 and 3,438.48

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Solution

The fourth proportional to 5,209.68, 7,182.90 and 3,438.48 is: 4,740.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,209.68 : 7,182.90 = 3,438.48 : x
  2. Step 2: Convert to fraction form
    5,209.68/7,182.90 = 3,438.48/x
  3. Step 3: Cross multiply
    5,209.68x = 7,182.90 × 3,438.48
  4. Step 4: Simplify right side
    5,209.68x = 24,698,257.99
  5. Step 5: Solve for x
    x = 24,698,257.99/5,209.68
  6. Step 6: Final answer
    x = 4,740.84

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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.