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Finding the Fourth Proportional to 4,738.92, 6,536.64 and 3,558

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Solution

The fourth proportional to 4,738.92, 6,536.64 and 3,558 is: 4,907.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,738.92 : 6,536.64 = 3,558 : x
  2. Step 2: Convert to fraction form
    4,738.92/6,536.64 = 3,558/x
  3. Step 3: Cross multiply
    4,738.92x = 6,536.64 × 3,558
  4. Step 4: Simplify right side
    4,738.92x = 23,257,365.12
  5. Step 5: Solve for x
    x = 23,257,365.12/4,738.92
  6. Step 6: Final answer
    x = 4,907.74

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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.