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Finding the Fourth Proportional to 5,754.66, 7,941.35 and 3,236.72

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Solution

The fourth proportional to 5,754.66, 7,941.35 and 3,236.72 is: 4,466.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,754.66 : 7,941.35 = 3,236.72 : x
  2. Step 2: Convert to fraction form
    5,754.66/7,941.35 = 3,236.72/x
  3. Step 3: Cross multiply
    5,754.66x = 7,941.35 × 3,236.72
  4. Step 4: Simplify right side
    5,754.66x = 25,703,955.15
  5. Step 5: Solve for x
    x = 25,703,955.15/5,754.66
  6. Step 6: Final answer
    x = 4,466.63

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.