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Finding the Fourth Proportional to 5,289.16, 7,933.76 and 2,209

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Solution

The fourth proportional to 5,289.16, 7,933.76 and 2,209 is: 3,313.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,289.16 : 7,933.76 = 2,209 : x
  2. Step 2: Convert to fraction form
    5,289.16/7,933.76 = 2,209/x
  3. Step 3: Cross multiply
    5,289.16x = 7,933.76 × 2,209
  4. Step 4: Simplify right side
    5,289.16x = 17,525,675.84
  5. Step 5: Solve for x
    x = 17,525,675.84/5,289.16
  6. Step 6: Final answer
    x = 3,313.51

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.