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Finding the Fourth Proportional to 6,225.87, 8,589.60 and 4,233

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Solution

The fourth proportional to 6,225.87, 8,589.60 and 4,233 is: 5,840.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,225.87 : 8,589.60 = 4,233 : x
  2. Step 2: Convert to fraction form
    6,225.87/8,589.60 = 4,233/x
  3. Step 3: Cross multiply
    6,225.87x = 8,589.60 × 4,233
  4. Step 4: Simplify right side
    6,225.87x = 36,359,776.80
  5. Step 5: Solve for x
    x = 36,359,776.80/6,225.87
  6. Step 6: Final answer
    x = 5,840.11

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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.