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Finding the Fourth Proportional to 5,691.84, 7,852.50 and 3,301.32

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Solution

The fourth proportional to 5,691.84, 7,852.50 and 3,301.32 is: 4,554.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,691.84 : 7,852.50 = 3,301.32 : x
  2. Step 2: Convert to fraction form
    5,691.84/7,852.50 = 3,301.32/x
  3. Step 3: Cross multiply
    5,691.84x = 7,852.50 × 3,301.32
  4. Step 4: Simplify right side
    5,691.84x = 25,923,615.30
  5. Step 5: Solve for x
    x = 25,923,615.30/5,691.84
  6. Step 6: Final answer
    x = 4,554.52

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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.