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Finding the Fourth Proportional to 5,755.16, 8,632.38 and 2,830.88

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Solution

The fourth proportional to 5,755.16, 8,632.38 and 2,830.88 is: 4,246.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,755.16 : 8,632.38 = 2,830.88 : x
  2. Step 2: Convert to fraction form
    5,755.16/8,632.38 = 2,830.88/x
  3. Step 3: Cross multiply
    5,755.16x = 8,632.38 × 2,830.88
  4. Step 4: Simplify right side
    5,755.16x = 24,437,231.89
  5. Step 5: Solve for x
    x = 24,437,231.89/5,755.16
  6. Step 6: Final answer
    x = 4,246.14

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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.