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Finding the Fourth Proportional to 5,409.38, 7,464.94 and 2,925.38

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Solution

The fourth proportional to 5,409.38, 7,464.94 and 2,925.38 is: 4,037.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,409.38 : 7,464.94 = 2,925.38 : x
  2. Step 2: Convert to fraction form
    5,409.38/7,464.94 = 2,925.38/x
  3. Step 3: Cross multiply
    5,409.38x = 7,464.94 × 2,925.38
  4. Step 4: Simplify right side
    5,409.38x = 21,837,786.18
  5. Step 5: Solve for x
    x = 21,837,786.18/5,409.38
  6. Step 6: Final answer
    x = 4,037.02

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.