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Finding the Fourth Proportional to 4,553.60, 6,824.24 and 3,315.20

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Solution

The fourth proportional to 4,553.60, 6,824.24 and 3,315.20 is: 4,968.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,553.60 : 6,824.24 = 3,315.20 : x
  2. Step 2: Convert to fraction form
    4,553.60/6,824.24 = 3,315.20/x
  3. Step 3: Cross multiply
    4,553.60x = 6,824.24 × 3,315.20
  4. Step 4: Simplify right side
    4,553.60x = 22,623,720.45
  5. Step 5: Solve for x
    x = 22,623,720.45/4,553.60
  6. Step 6: Final answer
    x = 4,968.32

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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.