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Finding the Fourth Proportional to 3,952.93, 5,438.64 and 3,003.18

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Solution

The fourth proportional to 3,952.93, 5,438.64 and 3,003.18 is: 4,131.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,952.93 : 5,438.64 = 3,003.18 : x
  2. Step 2: Convert to fraction form
    3,952.93/5,438.64 = 3,003.18/x
  3. Step 3: Cross multiply
    3,952.93x = 5,438.64 × 3,003.18
  4. Step 4: Simplify right side
    3,952.93x = 16,333,205.74
  5. Step 5: Solve for x
    x = 16,333,205.74/3,952.93
  6. Step 6: Final answer
    x = 4,131.93

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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.