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Finding the Fourth Proportional to 4,913.27, 7,369.90 and 4,045.76

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Solution

The fourth proportional to 4,913.27, 7,369.90 and 4,045.76 is: 6,068.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,913.27 : 7,369.90 = 4,045.76 : x
  2. Step 2: Convert to fraction form
    4,913.27/7,369.90 = 4,045.76/x
  3. Step 3: Cross multiply
    4,913.27x = 7,369.90 × 4,045.76
  4. Step 4: Simplify right side
    4,913.27x = 29,816,846.62
  5. Step 5: Solve for x
    x = 29,816,846.62/4,913.27
  6. Step 6: Final answer
    x = 6,068.64

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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.