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Finding the Fourth Proportional to 5,754.84, 7,941.96 and 3,237

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Solution

The fourth proportional to 5,754.84, 7,941.96 and 3,237 is: 4,467.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,754.84 : 7,941.96 = 3,237 : x
  2. Step 2: Convert to fraction form
    5,754.84/7,941.96 = 3,237/x
  3. Step 3: Cross multiply
    5,754.84x = 7,941.96 × 3,237
  4. Step 4: Simplify right side
    5,754.84x = 25,708,124.52
  5. Step 5: Solve for x
    x = 25,708,124.52/5,754.84
  6. Step 6: Final answer
    x = 4,467.22

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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.