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Finding the Fourth Proportional to 4,757.82, 6,558.90 and 3,263.40

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Solution

The fourth proportional to 4,757.82, 6,558.90 and 3,263.40 is: 4,498.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,757.82 : 6,558.90 = 3,263.40 : x
  2. Step 2: Convert to fraction form
    4,757.82/6,558.90 = 3,263.40/x
  3. Step 3: Cross multiply
    4,757.82x = 6,558.90 × 3,263.40
  4. Step 4: Simplify right side
    4,757.82x = 21,404,314.26
  5. Step 5: Solve for x
    x = 21,404,314.26/4,757.82
  6. Step 6: Final answer
    x = 4,498.77

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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.