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Finding the Fourth Proportional to 5,822.69, 8,734.16 and 1,663.07

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Solution

The fourth proportional to 5,822.69, 8,734.16 and 1,663.07 is: 2,494.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,822.69 : 8,734.16 = 1,663.07 : x
  2. Step 2: Convert to fraction form
    5,822.69/8,734.16 = 1,663.07/x
  3. Step 3: Cross multiply
    5,822.69x = 8,734.16 × 1,663.07
  4. Step 4: Simplify right side
    5,822.69x = 14,525,479.96
  5. Step 5: Solve for x
    x = 14,525,479.96/5,822.69
  6. Step 6: Final answer
    x = 2,494.64

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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.