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Finding the Fourth Proportional to 4,589.69, 6,881.70 and 3,124.40

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Solution

The fourth proportional to 4,589.69, 6,881.70 and 3,124.40 is: 4,684.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,589.69 : 6,881.70 = 3,124.40 : x
  2. Step 2: Convert to fraction form
    4,589.69/6,881.70 = 3,124.40/x
  3. Step 3: Cross multiply
    4,589.69x = 6,881.70 × 3,124.40
  4. Step 4: Simplify right side
    4,589.69x = 21,501,183.48
  5. Step 5: Solve for x
    x = 21,501,183.48/4,589.69
  6. Step 6: Final answer
    x = 4,684.67

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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.