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Finding the Fourth Proportional to 4,875.42, 6,731.28 and 3,754.38

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Solution

The fourth proportional to 4,875.42, 6,731.28 and 3,754.38 is: 5,183.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,875.42 : 6,731.28 = 3,754.38 : x
  2. Step 2: Convert to fraction form
    4,875.42/6,731.28 = 3,754.38/x
  3. Step 3: Cross multiply
    4,875.42x = 6,731.28 × 3,754.38
  4. Step 4: Simplify right side
    4,875.42x = 25,271,783.01
  5. Step 5: Solve for x
    x = 25,271,783.01/4,875.42
  6. Step 6: Final answer
    x = 5,183.51

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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.