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Finding the Fourth Proportional to 5,812.66, 8,711.76 and 2,848.67

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Solution

The fourth proportional to 5,812.66, 8,711.76 and 2,848.67 is: 4,269.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,812.66 : 8,711.76 = 2,848.67 : x
  2. Step 2: Convert to fraction form
    5,812.66/8,711.76 = 2,848.67/x
  3. Step 3: Cross multiply
    5,812.66x = 8,711.76 × 2,848.67
  4. Step 4: Simplify right side
    5,812.66x = 24,816,885.80
  5. Step 5: Solve for x
    x = 24,816,885.80/5,812.66
  6. Step 6: Final answer
    x = 4,269.46

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.