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Finding the Fourth Proportional to 5,500.84, 7,590.36 and 3,142.12

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Solution

The fourth proportional to 5,500.84, 7,590.36 and 3,142.12 is: 4,335.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,500.84 : 7,590.36 = 3,142.12 : x
  2. Step 2: Convert to fraction form
    5,500.84/7,590.36 = 3,142.12/x
  3. Step 3: Cross multiply
    5,500.84x = 7,590.36 × 3,142.12
  4. Step 4: Simplify right side
    5,500.84x = 23,849,821.96
  5. Step 5: Solve for x
    x = 23,849,821.96/5,500.84
  6. Step 6: Final answer
    x = 4,335.67

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.