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Finding the Fourth Proportional to 4,935.38, 7,406.72 and 2,338.32

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Solution

The fourth proportional to 4,935.38, 7,406.72 and 2,338.32 is: 3,509.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,935.38 : 7,406.72 = 2,338.32 : x
  2. Step 2: Convert to fraction form
    4,935.38/7,406.72 = 2,338.32/x
  3. Step 3: Cross multiply
    4,935.38x = 7,406.72 × 2,338.32
  4. Step 4: Simplify right side
    4,935.38x = 17,319,269.82
  5. Step 5: Solve for x
    x = 17,319,269.82/4,935.38
  6. Step 6: Final answer
    x = 3,509.21

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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.