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Finding the Fourth Proportional to 5,222.57, 7,830.69 and 2,056.22

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Solution

The fourth proportional to 5,222.57, 7,830.69 and 2,056.22 is: 3,083.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,222.57 : 7,830.69 = 2,056.22 : x
  2. Step 2: Convert to fraction form
    5,222.57/7,830.69 = 2,056.22/x
  3. Step 3: Cross multiply
    5,222.57x = 7,830.69 × 2,056.22
  4. Step 4: Simplify right side
    5,222.57x = 16,101,582.24
  5. Step 5: Solve for x
    x = 16,101,582.24/5,222.57
  6. Step 6: Final answer
    x = 3,083.08

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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.