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Finding the Fourth Proportional to 5,217.52, 7,827 and 1,755.76

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Solution

The fourth proportional to 5,217.52, 7,827 and 1,755.76 is: 2,633.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,217.52 : 7,827 = 1,755.76 : x
  2. Step 2: Convert to fraction form
    5,217.52/7,827 = 1,755.76/x
  3. Step 3: Cross multiply
    5,217.52x = 7,827 × 1,755.76
  4. Step 4: Simplify right side
    5,217.52x = 13,742,333.52
  5. Step 5: Solve for x
    x = 13,742,333.52/5,217.52
  6. Step 6: Final answer
    x = 2,633.88

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.