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Finding the Fourth Proportional to 5,973.09, 8,243.36 and 3,320.74

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Solution

The fourth proportional to 5,973.09, 8,243.36 and 3,320.74 is: 4,582.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,973.09 : 8,243.36 = 3,320.74 : x
  2. Step 2: Convert to fraction form
    5,973.09/8,243.36 = 3,320.74/x
  3. Step 3: Cross multiply
    5,973.09x = 8,243.36 × 3,320.74
  4. Step 4: Simplify right side
    5,973.09x = 27,374,090.35
  5. Step 5: Solve for x
    x = 27,374,090.35/5,973.09
  6. Step 6: Final answer
    x = 4,582.90

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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.