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Finding the Fourth Proportional to 5,764.48, 7,952.16 and 3,405.76

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Solution

The fourth proportional to 5,764.48, 7,952.16 and 3,405.76 is: 4,698.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,764.48 : 7,952.16 = 3,405.76 : x
  2. Step 2: Convert to fraction form
    5,764.48/7,952.16 = 3,405.76/x
  3. Step 3: Cross multiply
    5,764.48x = 7,952.16 × 3,405.76
  4. Step 4: Simplify right side
    5,764.48x = 27,083,148.44
  5. Step 5: Solve for x
    x = 27,083,148.44/5,764.48
  6. Step 6: Final answer
    x = 4,698.28

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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.