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Finding the Fourth Proportional to 5,882.80, 8,828.76 and 3,068.86

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Solution

The fourth proportional to 5,882.80, 8,828.76 and 3,068.86 is: 4,605.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,882.80 : 8,828.76 = 3,068.86 : x
  2. Step 2: Convert to fraction form
    5,882.80/8,828.76 = 3,068.86/x
  3. Step 3: Cross multiply
    5,882.80x = 8,828.76 × 3,068.86
  4. Step 4: Simplify right side
    5,882.80x = 27,094,228.41
  5. Step 5: Solve for x
    x = 27,094,228.41/5,882.80
  6. Step 6: Final answer
    x = 4,605.67

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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.