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Finding the Fourth Proportional to 5,738.82, 7,907.03 and 4,484.03

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Solution

The fourth proportional to 5,738.82, 7,907.03 and 4,484.03 is: 6,178.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,738.82 : 7,907.03 = 4,484.03 : x
  2. Step 2: Convert to fraction form
    5,738.82/7,907.03 = 4,484.03/x
  3. Step 3: Cross multiply
    5,738.82x = 7,907.03 × 4,484.03
  4. Step 4: Simplify right side
    5,738.82x = 35,455,387.61
  5. Step 5: Solve for x
    x = 35,455,387.61/5,738.82
  6. Step 6: Final answer
    x = 6,178.16

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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.