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Finding the Fourth Proportional to 5,308.28, 7,325.47 and 3,320

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Solution

The fourth proportional to 5,308.28, 7,325.47 and 3,320 is: 4,581.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,308.28 : 7,325.47 = 3,320 : x
  2. Step 2: Convert to fraction form
    5,308.28/7,325.47 = 3,320/x
  3. Step 3: Cross multiply
    5,308.28x = 7,325.47 × 3,320
  4. Step 4: Simplify right side
    5,308.28x = 24,320,560.40
  5. Step 5: Solve for x
    x = 24,320,560.40/5,308.28
  6. Step 6: Final answer
    x = 4,581.63

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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.