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Finding the Fourth Proportional to 5,822.93, 8,735.75 and 1,663

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Solution

The fourth proportional to 5,822.93, 8,735.75 and 1,663 is: 2,494.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,822.93 : 8,735.75 = 1,663 : x
  2. Step 2: Convert to fraction form
    5,822.93/8,735.75 = 1,663/x
  3. Step 3: Cross multiply
    5,822.93x = 8,735.75 × 1,663
  4. Step 4: Simplify right side
    5,822.93x = 14,527,552.25
  5. Step 5: Solve for x
    x = 14,527,552.25/5,822.93
  6. Step 6: Final answer
    x = 2,494.89

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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.