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Finding the Fourth Proportional to 4,158.47, 5,736.23 and 2,665.84

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Solution

The fourth proportional to 4,158.47, 5,736.23 and 2,665.84 is: 3,677.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,158.47 : 5,736.23 = 2,665.84 : x
  2. Step 2: Convert to fraction form
    4,158.47/5,736.23 = 2,665.84/x
  3. Step 3: Cross multiply
    4,158.47x = 5,736.23 × 2,665.84
  4. Step 4: Simplify right side
    4,158.47x = 15,291,871.38
  5. Step 5: Solve for x
    x = 15,291,871.38/4,158.47
  6. Step 6: Final answer
    x = 3,677.28

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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.