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Finding the Fourth Proportional to 5,822.25, 8,733.68 and 1,661.94

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Solution

The fourth proportional to 5,822.25, 8,733.68 and 1,661.94 is: 2,492.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,822.25 : 8,733.68 = 1,661.94 : x
  2. Step 2: Convert to fraction form
    5,822.25/8,733.68 = 1,661.94/x
  3. Step 3: Cross multiply
    5,822.25x = 8,733.68 × 1,661.94
  4. Step 4: Simplify right side
    5,822.25x = 14,514,812.63
  5. Step 5: Solve for x
    x = 14,514,812.63/5,822.25
  6. Step 6: Final answer
    x = 2,492.99

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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.