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Finding the Fourth Proportional to 4,941, 7,384.23 and 3,962.52

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Solution

The fourth proportional to 4,941, 7,384.23 and 3,962.52 is: 5,921.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,941 : 7,384.23 = 3,962.52 : x
  2. Step 2: Convert to fraction form
    4,941/7,384.23 = 3,962.52/x
  3. Step 3: Cross multiply
    4,941x = 7,384.23 × 3,962.52
  4. Step 4: Simplify right side
    4,941x = 29,260,159.06
  5. Step 5: Solve for x
    x = 29,260,159.06/4,941
  6. Step 6: Final answer
    x = 5,921.91

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.