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Finding the Fourth Proportional to 5,972.72, 8,242.16 and 3,320.06

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Solution

The fourth proportional to 5,972.72, 8,242.16 and 3,320.06 is: 4,581.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,972.72 : 8,242.16 = 3,320.06 : x
  2. Step 2: Convert to fraction form
    5,972.72/8,242.16 = 3,320.06/x
  3. Step 3: Cross multiply
    5,972.72x = 8,242.16 × 3,320.06
  4. Step 4: Simplify right side
    5,972.72x = 27,364,465.73
  5. Step 5: Solve for x
    x = 27,364,465.73/5,972.72
  6. Step 6: Final answer
    x = 4,581.58

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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.