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Finding the Fourth Proportional to 5,820.69, 8,734.53 and 2,123.24

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Solution

The fourth proportional to 5,820.69, 8,734.53 and 2,123.24 is: 3,186.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,820.69 : 8,734.53 = 2,123.24 : x
  2. Step 2: Convert to fraction form
    5,820.69/8,734.53 = 2,123.24/x
  3. Step 3: Cross multiply
    5,820.69x = 8,734.53 × 2,123.24
  4. Step 4: Simplify right side
    5,820.69x = 18,545,459.80
  5. Step 5: Solve for x
    x = 18,545,459.80/5,820.69
  6. Step 6: Final answer
    x = 3,186.13

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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.