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Finding the Fourth Proportional to 5,973.24, 8,242.14 and 3,320.64

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Solution

The fourth proportional to 5,973.24, 8,242.14 and 3,320.64 is: 4,581.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,973.24 : 8,242.14 = 3,320.64 : x
  2. Step 2: Convert to fraction form
    5,973.24/8,242.14 = 3,320.64/x
  3. Step 3: Cross multiply
    5,973.24x = 8,242.14 × 3,320.64
  4. Step 4: Simplify right side
    5,973.24x = 27,369,179.77
  5. Step 5: Solve for x
    x = 27,369,179.77/5,973.24
  6. Step 6: Final answer
    x = 4,581.97

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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.