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Finding the Fourth Proportional to 3,988.24, 5,973.30 and 3,293.20

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Solution

The fourth proportional to 3,988.24, 5,973.30 and 3,293.20 is: 4,932.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,988.24 : 5,973.30 = 3,293.20 : x
  2. Step 2: Convert to fraction form
    3,988.24/5,973.30 = 3,293.20/x
  3. Step 3: Cross multiply
    3,988.24x = 5,973.30 × 3,293.20
  4. Step 4: Simplify right side
    3,988.24x = 19,671,271.56
  5. Step 5: Solve for x
    x = 19,671,271.56/3,988.24
  6. Step 6: Final answer
    x = 4,932.32

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.