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Finding the Fourth Proportional to 5,853.52, 8,076.80 and 3,462.30

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Solution

The fourth proportional to 5,853.52, 8,076.80 and 3,462.30 is: 4,777.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,853.52 : 8,076.80 = 3,462.30 : x
  2. Step 2: Convert to fraction form
    5,853.52/8,076.80 = 3,462.30/x
  3. Step 3: Cross multiply
    5,853.52x = 8,076.80 × 3,462.30
  4. Step 4: Simplify right side
    5,853.52x = 27,964,264.26
  5. Step 5: Solve for x
    x = 27,964,264.26/5,853.52
  6. Step 6: Final answer
    x = 4,777.35

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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.