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Finding the Fourth Proportional to 5,830.12, 8,752.81 and 3,462.53

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Solution

The fourth proportional to 5,830.12, 8,752.81 and 3,462.53 is: 5,198.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,830.12 : 8,752.81 = 3,462.53 : x
  2. Step 2: Convert to fraction form
    5,830.12/8,752.81 = 3,462.53/x
  3. Step 3: Cross multiply
    5,830.12x = 8,752.81 × 3,462.53
  4. Step 4: Simplify right side
    5,830.12x = 30,306,867.21
  5. Step 5: Solve for x
    x = 30,306,867.21/5,830.12
  6. Step 6: Final answer
    x = 5,198.33

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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.