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Finding the Fourth Proportional to 4,658.28, 6,978.06 and 2,711.40

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Solution

The fourth proportional to 4,658.28, 6,978.06 and 2,711.40 is: 4,061.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,658.28 : 6,978.06 = 2,711.40 : x
  2. Step 2: Convert to fraction form
    4,658.28/6,978.06 = 2,711.40/x
  3. Step 3: Cross multiply
    4,658.28x = 6,978.06 × 2,711.40
  4. Step 4: Simplify right side
    4,658.28x = 18,920,311.88
  5. Step 5: Solve for x
    x = 18,920,311.88/4,658.28
  6. Step 6: Final answer
    x = 4,061.65

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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.