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Finding the Fourth Proportional to 3,965.02, 5,973.91 and 3,590.02

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Solution

The fourth proportional to 3,965.02, 5,973.91 and 3,590.02 is: 5,408.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,965.02 : 5,973.91 = 3,590.02 : x
  2. Step 2: Convert to fraction form
    3,965.02/5,973.91 = 3,590.02/x
  3. Step 3: Cross multiply
    3,965.02x = 5,973.91 × 3,590.02
  4. Step 4: Simplify right side
    3,965.02x = 21,446,456.38
  5. Step 5: Solve for x
    x = 21,446,456.38/3,965.02
  6. Step 6: Final answer
    x = 5,408.92

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.