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Finding the Fourth Proportional to 5,218.17, 7,828.47 and 1,755.42

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Solution

The fourth proportional to 5,218.17, 7,828.47 and 1,755.42 is: 2,633.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,218.17 : 7,828.47 = 1,755.42 : x
  2. Step 2: Convert to fraction form
    5,218.17/7,828.47 = 1,755.42/x
  3. Step 3: Cross multiply
    5,218.17x = 7,828.47 × 1,755.42
  4. Step 4: Simplify right side
    5,218.17x = 13,742,272.42
  5. Step 5: Solve for x
    x = 13,742,272.42/5,218.17
  6. Step 6: Final answer
    x = 2,633.54

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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.