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Finding the Fourth Proportional to 4,745.47, 6,546.88 and 2,976.43

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Solution

The fourth proportional to 4,745.47, 6,546.88 and 2,976.43 is: 4,106.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,745.47 : 6,546.88 = 2,976.43 : x
  2. Step 2: Convert to fraction form
    4,745.47/6,546.88 = 2,976.43/x
  3. Step 3: Cross multiply
    4,745.47x = 6,546.88 × 2,976.43
  4. Step 4: Simplify right side
    4,745.47x = 19,486,330.04
  5. Step 5: Solve for x
    x = 19,486,330.04/4,745.47
  6. Step 6: Final answer
    x = 4,106.30

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.