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Finding the Fourth Proportional to 5,220.73, 7,832.38 and 1,710.93

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Solution

The fourth proportional to 5,220.73, 7,832.38 and 1,710.93 is: 2,566.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,220.73 : 7,832.38 = 1,710.93 : x
  2. Step 2: Convert to fraction form
    5,220.73/7,832.38 = 1,710.93/x
  3. Step 3: Cross multiply
    5,220.73x = 7,832.38 × 1,710.93
  4. Step 4: Simplify right side
    5,220.73x = 13,400,630.06
  5. Step 5: Solve for x
    x = 13,400,630.06/5,220.73
  6. Step 6: Final answer
    x = 2,566.81

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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.