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Finding the Fourth Proportional to 4,923.64, 7,391.94 and 3,358.72

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Solution

The fourth proportional to 4,923.64, 7,391.94 and 3,358.72 is: 5,042.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,923.64 : 7,391.94 = 3,358.72 : x
  2. Step 2: Convert to fraction form
    4,923.64/7,391.94 = 3,358.72/x
  3. Step 3: Cross multiply
    4,923.64x = 7,391.94 × 3,358.72
  4. Step 4: Simplify right side
    4,923.64x = 24,827,456.72
  5. Step 5: Solve for x
    x = 24,827,456.72/4,923.64
  6. Step 6: Final answer
    x = 5,042.50

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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.