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Finding the Fourth Proportional to 5,852.34, 8,773.31 and 2,153.69

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Solution

The fourth proportional to 5,852.34, 8,773.31 and 2,153.69 is: 3,228.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,852.34 : 8,773.31 = 2,153.69 : x
  2. Step 2: Convert to fraction form
    5,852.34/8,773.31 = 2,153.69/x
  3. Step 3: Cross multiply
    5,852.34x = 8,773.31 × 2,153.69
  4. Step 4: Simplify right side
    5,852.34x = 18,894,935.38
  5. Step 5: Solve for x
    x = 18,894,935.38/5,852.34
  6. Step 6: Final answer
    x = 3,228.61

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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.